1. The problem states that $t$ is proportional to $w^2$, which means we can write the equation as: $$t = k w^2$$ where $k$ is the constant of proportionality. 2. We are given that $t = 60$ when $w = 5$. Substitute these values to find $k$: $$60 = k \times 5^2$$ $$60 = 25k$$ $$k = \frac{60}{25} = 2.4$$ 3. Now, use the value of $k$ to find $t$ when $w = 3$: $$t = 2.4 \times 3^2 = 2.4 \times 9 = 21.6$$ **Final answer:** $$t = 21.6$$