Fill in the blank to make equivalent rational expressions. (3w)/(w-4)=(square )/((w-4)(w-6))

To make the two rational expressions equivalent, we need to find a value for the numerator of the second fraction that makes the two fractions equal.<br /><br />Given:<br />$\frac {3w}{w-4}=\frac {\square }{(w-4)(w-6)}$<br /><br />To make the denominators the same, we need to multiply the numerator and denominator of the first fraction by $(w-6)$:<br />$\frac {3w(w-6)}{(w-4)(w-6)}=\frac {\square }{(w-4)(w-6)}$<br /><br />Since the denominators are the same, the numerators must be equal:<br />$3w(w-6)=\square$<br /><br />Therefore, the value that should be filled in the blank is $3w(w-6)$.