Well the Boeing 727 is renowned for being one of teh best short-field jetliners in the medium-range class. The wings, especially when full flaps are deployed, have leadign edge slats that really kill speed, as designed, mnow, full flpas aren't deployed until final, or short final usually, you approach at slats 15, then crosswind goes to 20, then 25, and finally flaps 30, you shouldn't be doing too much flying with full flaps, this like you said kills your speed. PLus, once you slow down this much, with this much weight and drag, it can take a while for the plane to regain thrust, and momentum.

Here's a fun fact: On the first flight of the Boeing 727 (also was the -100 the center engine surged on takeoff, then recovered. The first flight was shortened because the leading edge slats were stuck in the deployed position.