3. Given the circle $C: x^{2}+y^{2}=24$, the line $l: \frac{x}{12}+\frac{y}{8}=1$, and point $P$ on $l$, the ray $O P$ intersects the circle at point $R$. Point $Q$ is on $O P$ and satisfies: $|O Q| \cdot|O P|=|O R|^{2}$. When point $P$ moves along $l$, find the equation of the trajectory of point $Q$ and describe what kind of curve the trajectory is.
3. From $\frac{x^{2}}{24}+\frac{y^{2}}{24}=\frac{x}{12}+\frac{y}{8}$, we rearrange to get $(x-1)^{2}+\left(y-\frac{3}{2}\right)^{2}=\frac{13}{4}$, which represents a circle with center $\left(1, \frac{3}{2}\right)$ and radius $\frac{\sqrt{13}}{2}$.