Story highlights Missouri's final tally found Trump edging out Cruz 40.8%-40.6%, or by fewer than 2,000 votes

The real estate mogul will win the state's 12 at-large delegates

Washington (CNN) Missouri's secretary of state Jason Kander officially declared Tuesday that Donald Trump won a narrow victory over Ted Cruz and will win the state's 12 at-large delegates.

The final tally found Trump edging out Cruz 40.8%-40.6%, or by fewer than 2,000 votes in the March 15 primary.

The additional 12 delegates give Trump an important boost after he was swept by Cruz in Colorado over the weekend at the Colorado Republican convention.

The additional delegates bring Trump slightly closer to the 1,237 needed to secure the nomination. By CNN's estimates, Trump now has 758 delegates, Cruz has 538, Marco Rubio has 173 and John Kasich has 145.