Finding the Third Proportional to 961 and 1,302
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Solution
The third proportional to 961 and 1,302 is: 1,764
Step by Step Solution
- Step 1: Write the proportion equation
961 : 1,302 = 1,302 : x - Step 2: Convert to fraction form
961/1,302 = 1,302/x - Step 3: Cross multiply
961x = 1,302 × 1,302 - Step 4: Simplify right side
961x = 1,695,204 - Step 5: Solve for x
x = 1,695,204/961 - Step 6: Final answer
x = 1,764
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.