Write the ratio 12:36 as an equivlant ratio of x:3

Answer 1

To find the equivalent ratio of \( 12:36 \) as \( x:3 \), we start by setting up a proportion:

\[ \frac{12}{36} = \frac{x}{3} \]

Next, we simplify the left side:

\[ \frac{12}{36} = \frac{1}{3} \]

Now we can write the equation as:

\[ \frac{1}{3} = \frac{x}{3} \]

To solve for \( x \), we can cross-multiply:

\[ 1 \cdot 3 = 3 \cdot x \implies 3 = 3x \]

Now, divide both sides by 3:

\[ x = 1 \]

Thus, the equivalent ratio is:

\[ 1:3 \]