1. **State the problem:** We have a ratio table with two columns and five rows. Some values are missing, represented by squares (□). We need to find these missing values to complete the table.
2. **Given table:**
$$\begin{array}{cc}
11 & \square \\
33 & 9 \\
66 & 18 \\
77 & 21 \\
88 & \square \\
\end{array}$$
3. **Identify the ratio:** The second row gives us a known ratio: $33$ corresponds to $9$. We can find the ratio between the first and second columns by dividing:
$$\text{ratio} = \frac{9}{33} = \frac{3}{11}$$
4. **Use the ratio to find missing values:**
- For the first row, the first column is $11$. Using the ratio $\frac{3}{11}$, the second column value is:
$$11 \times \frac{3}{11} = \cancel{11} \times \frac{3}{\cancel{11}} = 3$$
- For the last row, the first column is $88$. Using the ratio $\frac{3}{11}$, the second column value is:
$$88 \times \frac{3}{11} = \cancel{88} \times \frac{3}{\cancel{11}} = 8 \times 3 = 24$$
5. **Verify other values:**
- $66 \times \frac{3}{11} = 18$ (given)
- $77 \times \frac{3}{11} = 21$ (given)
6. **Final completed table:**
$$\begin{array}{cc}
11 & 3 \\
33 & 9 \\
66 & 18 \\
77 & 21 \\
88 & 24 \\
\end{array}$$
**Answer:** The missing values are $3$ and $24$.
Ratio Table 895992
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