Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{t}{2}=\frac{6}{12}$

Short answer

The value of $t=1$.

Step-by-step solution

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\begin{array}{c}\frac{t}{2}=\frac{6}{12}\\ 12\left(t\right)=\left(6\right)2\end{array}$

Step-3. Simplify for t.

To further simplify, divide each side by 12.

$\begin{array}{c}12\left(t\right)=\left(6\right)2\\ 12t=12\\ \frac{12t}{12}=\frac{12}{12}\\ t=1\end{array}$

Therefore, the value of $t=1$.