CRJ-900 Captain reported receiving a GND Spoiler Caution message alongside a HYD 3 LO PRESS message in cruise. The decision to continue to the destination airport was made and the flight landed without incident.

Narrative

After departure from XL ZZZ1 in our turn to a heading of XXX degrees; we received an IB GND Spoiler Caution. It showed momentarily two times and self-cleared both times moments after they appeared. After the second time; it was elected to review the QRH in case the item popped up again. After reaching our cruise altitude the same message reappeared; but this time alongside HYD 3 LO PRESS. At this time the QRH was ran for the LO PRESS Caution. On the hydraulic synaptic page; the HYD 3 system was turning from green/amber and reporting 0% fluid. The QRH procedure was completed; and Dispatch notified of our situation. The decision was made that our destination (ZZZ) would be the best airport to land at. At that time; ZZZ2 was reporting light snow. We had roughly 50 minutes remaining in flight. We informed the cabin crew of our situation; briefed the passengers and then spent the remainder of the flight discussing how we were going to perform the landing under the circumstances. Pilot flying (PF) and pilot monitoring (PM) duties were switched due to pilot experience level in the aircraft. Upon switching to ZZZ Center; we informed ATC of our situation. The flaps 20 approach to ZZZ XXR was briefed between the pilots. During our descent; we elected to start the APU in case there was reason to shut down both engines in a hurry after landing. On short final we received some light turbulence and icing conditions. The Autopilot was disconnected once we had visual reference of the airport. The aircraft touched down with a slight crosswind from the right. Center line was maintained with rudder inputs; and thrust reversers (TR) activated. After the initial deceleration with TR; the brakes were utilized to slow the aircraft to a complete stop. The parking brake was engaged. The PM contacted the cabin crew to tell them to standby. We then contacted Tower and briefly spoke to Airport Rescue and Firefighting (ARFF) who was standing by. After a few minutes the tow tug showed up; and we shut down the engines and completed the after-landing checklist. The aircraft was towed to the gate and the passengers were deplaned without further event. Loss of fluid/pressure which led to loss of related systems on HYD 3.Not sure if there could have been anything else we could have done; except maybe catch the fluid loss earlier. We flew the aircraft the previous leg and has no indications from the previous flight that anything was up. A few takeaways after the flight during our debrief. We talked about shutting down the engines because we had the APU on. But in the height of the moment; once parked on the runway; we left the engines running for a few minutes while ARFF cleared the aircraft. We could have shut down the engines earlier than we did. Talking to Tower/ARFF after landing felt like it had an awkward cadence as we don't normally talk to ARFF etc.