Question

Solve for t in the proportion.

21
t
=
12
28


t =

Answer 1

To solve for \( t \) in the proportion

\[
\frac{21}{t} = \frac{12}{28},
\]

you can cross-multiply. This means you multiply the numerator of one fraction by the denominator of the other fraction:

\[
21 \cdot 28 = 12 \cdot t.
\]

Calculating \( 21 \cdot 28 \):

\[
21 \cdot 28 = 588.
\]

So the equation becomes:

\[
588 = 12 t.
\]

Now, isolate \( t \) by dividing both sides by 12:

\[
t = \frac{588}{12}.
\]

Now, simplify \( \frac{588}{12} \):

\[
t = 49.
\]

Thus, the solution is:

\[
t = 49.
\]