AN LR35 HAS A LESS SEVERE NMAC WITH AN SMA IN DAY; OH; AIRSPACE AND HAS AN ALTDEV.

Narrative

WE WERE FLYING AN LR35 ON AN IFR FLT PLAN ENRTE TO DAY. WE WERE TALKING TO DAY APCH ON A CLOSE IN DOWNWIND VECTOR AT 6000 FT. THIS WAS FOR; AS WE WERE TOLD; A SINGLE ENG CESSNA TRANSITING THE CLASS C AT 4000 FT BELOW US. WE NEVER SAW THIS ACFT. WHEN WE WERE CLR OF THE ACFT; ATC TOLD US TO DSND TO 4000 FT. WE DID; AND THEN THEY GAVE US A BASE TURN WITHIN A COUPLE MI FROM THE ARPT; WHICH PUT US VERY HIGH ON BASE WITH A FIELD ELEVATION OF APPROX 1000 FT. I WAS THE PNF AND READ BACK THE CLRNC WITH THE ADDITIVE OF CLR FOR THE 'VISUAL' FOR WHICH I THOUGHT I HEARD AND EXPECTED TO HEAR AND READ IT BACK TO THE PF; WHICH HE THOUGHT HE HEARD THE SAME THING. THIS WAS GOING TO BE A LNDG ON THE FAR PARALLEL. ANYWAY; THERE WAS A SINGLE ENG CESSNA DOING A PRACTICE INST APCH ON THE NEAR PARALLEL WITHIN 1 MI OF OUR POS AS WE TURNED BASE AND STARTED DSNDING. WE WERE WITHIN 500 FT OF THE CESSNA. ATC CAME BACK AND INSTRUCTED US TO CLB TO 4000 FT. WE WERE DSNDING THROUGH 3600 FT. WE DID AND LANDED WITHOUT INCIDENT. WE (THE CREW) THOUGHT WE HEARD 'CLRED FOR VISUAL' BECAUSE OF OUR CLOSE PROX TO THE ARPT. WE ASSUMED SOMETHING BECAUSE OF OUR SIT; WHICH YOU MUST NOT DO IN AVIATION.