They aren't adding an extra DTRM, the standard Mk-104 DTRM is 13.5" in diameter while the 21" diameter Mk-104 DTRM has the same diameter as the 21" diameter Mk-72 launch-booster, this 21" diameter DTRM has a longer burn-time and more thrust.
The SM-3 has three stages - the Mk-72 with a high-thrust, short burn boost only burn-profile, the Mk-104 DTRM has a single-pulse dual thrust burn-profile (A high thrust thrust short burn boost phase followed by a long lower thrust sustain burn-profile) and the Mk-136 TSRM which has two pulses boost only that can be fired once or twice. This makes a total three or four burn pulses.