Question

complete the ratio table.
13 19
38
57
52 76
65 95

Explanation:

Step1: Find the ratio

First, check the ratio between the second column and the first column. Let's take the last row: \( \frac{95}{65}=\frac{19}{13} \), and the fourth row: \( \frac{76}{52}=\frac{19}{13} \). So the ratio of the second number to the first number in each row is \( \frac{19}{13} \), which means the first number times \( \frac{19}{13} \) equals the second number, or the second number divided by \( \frac{19}{13} \) (i.e., multiplied by \( \frac{13}{19} \)) equals the first number.

Step2: Find the first missing number (second row, first column)

For the second row, the second number is 38. So the first number is \( 38\times\frac{13}{19} \). Calculate \( 38\div19 = 2 \), then \( 2\times13 = 26 \). So the first missing number (second row, first column) is 26.

Step3: Find the second missing number (third row, first column)

For the third row, the second number is 57. So the first number is \( 57\times\frac{13}{19} \). Calculate \( 57\div19 = 3 \), then \( 3\times13 = 39 \). So the second missing number (third row, first column) is 39.

Answer:

The completed ratio table (filling the missing cells) has 26 in the second row, first column and 39 in the third row, first column. So the table becomes:

13	19
26	38
39	57
52	76
65	95

The missing numbers are 26 (second row, first column) and 39 (third row, first column).