Finding the Third Proportional to 877 and 963
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Solution
The third proportional to 877 and 963 is: 1,057.43
Step by Step Solution
- Step 1: Write the proportion equation
877 : 963 = 963 : x - Step 2: Convert to fraction form
877/963 = 963/x - Step 3: Cross multiply
877x = 963 × 963 - Step 4: Simplify right side
877x = 927,369 - Step 5: Solve for x
x = 927,369/877 - Step 6: Final answer
x = 1,057.43
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.