What was found
LEVELED AT FL290 ATC SLOWED US TO 250 KNOTS. S/O REPORTED NR 3 ENGINE FUEL PRESSURE GAUGE STARTED TO FLUCTUATE. NOTICED NR 3 N1 RPM DROPPING AND ASSOCIATED REDUCTION IN EGT AND N2. PERFORMED IN FLIGHT ENG SHUT DOWN. RETURNED AND LANDED MEM WITHOUT INCIDENT. REMOVED NR 3 ENGINE MEC AND FUEL PUMP ASSY IAW DC10-30 AMM 73-20-01-2, MATED MEC AND FUEL PUMP ON BENCH IAW DC10-30 AMM 73-20-01-2. REINSTALLED MEC AND FUEL PUMP IN REFERENCE TO DC-10-30 M/M 73-12-01-2 AND 73-20-01-2. PERFORMED IDLE LEAK CHECK, NO LEAKS NOTED AND IDLE SPEEDS WERE WITHIN LIMITS OF JRH. FUEL FLOW TRANSMITTER REPLACED PER DC 10 AMM 73-31-02-2 . PERFORMED MAX POWER ASSURANCE RUN ALL PARAMETERS WITHIN LIMITS.