Question

Solve for m in the proportion.

m/64 = 45/96


m =

Answer 1

To solve for \( m \) in the proportion \( \frac{m}{64} = \frac{45}{96} \), we can use cross-multiplication.

Cross-multiplying gives us:

\[
m \cdot 96 = 45 \cdot 64
\]

Next, we calculate \( 45 \cdot 64 \):

\[
45 \cdot 64 = 2880
\]

Now we can rewrite the equation:

\[
m \cdot 96 = 2880
\]

To solve for \( m \), divide both sides by 96:

\[
m = \frac{2880}{96}
\]

Now let's simplify \( \frac{2880}{96} \):

\[
m = 30
\]

Therefore, the value of \( m \) is:

\[
\boxed{30}
\]