A C550 DEPARTING MIA AIRSPACE ENCOUNTERS PARACHUTE JUMPERS WITH NO PREVIOUS ALERT OR WARNING. IT OCCURRED IN CLASS E AIRSPACE.

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WE WERE IN A DEP CLB TO THE SE OF TMB ARPT ON A VECTOR AROUND WX; WHEN THE CTLR POINTED OUT A JUMP PLANE THAT WAS 3000 FT ABOVE US AND CLOSING; WHILE AT THE SAME TIME RELEASING JUMPERS. THE JUMPERS PASSED NO FURTHER THAN 1 MI OFF OF OUR R SIDE. THE CTLRS NEED TO BE A LITTLE MORE RESPONSIBLE IN MANAGING IFR ACFT AND JUMPERS ALL USING THE SAME AIRSPACE. WE WERE FORCED TO CONTINUE A TURN INTO TURBULENT WX SO AS TO AVOID THE JUMPERS. THE JUMP PLANES AND CTLRS NEED TO MAKE VERY SURE THAT NO OTHER AIRSPACE CONFLICTS EXIST BEFORE 'JUMPERS AWAY.' CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR FEELS CTLR HAD THEM MAKE A BIG LOOPING TURN FROM TMB IN ORDER FOR THEM TO CLB ABOVE THE JUMPERS; BUT THEIR RATE OF CLB WAS LOW SO THEY DID NOT ACHIEVE THE ALT NECESSARY TO BE ABOVE THE JUMPERS. BEFORE THE JUMP ACFT WAS SEEN; THE RPTR ASKED FOR A VECTOR TO THE L TO AVOID SOME CUMULUS BUILD-UPS; WHICH PUT HIS ACFT CLOSER TO THE JUMPERS. CTLR OBLIGED; BUT STILL NEVER SAID ANYTHING ABOUT THE JUMP AIRPLANE OR JUMPERS UNTIL LATER. PLT RPTR STATED THAT AS THEY CLBED THROUGH 10000 FT THE CTLR POINTED OUT A JUMP PLANE 3000 FT ABOVE. RPTR NEVER HEARD ANY OTHER COMMANDS; SUCH AS; JUMPERS AWAY OR KEEP CLR. JUMPERS HAD ALREADY LEFT JUMP PLANE WHEN RPTR SAW THEM. JUMPERS PASSED 1 - 1/2 MI AWAY. ACFT FLOWN WAS A CE550 CPR ACFT; CLBING AT 2000 FPM; 190 KIAS. CALLBACK CONVERSATION WITH MIA TRACON STAFF SPECIALIST REVEALED THE FOLLOWING INFO: ANALYST WAS ABLE TO LEARN THAT JUMP WAS MADE IN CLASS E AIRSPACE. SPECIALIST STATED THAT CTLRS FOLLOWED THE HANDBOOK. HOWEVER; THE DEPARTING FLC NEVER HEARD THE COMMANDS OR CALLS TO THE JUMPER ACFT.