Finding the Third Proportional to 9,760 and 10,592
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Solution
The third proportional to 9,760 and 10,592 is: 11,494.92
Step by Step Solution
- Step 1: Write the proportion equation
9,760 : 10,592 = 10,592 : x - Step 2: Convert to fraction form
9,760/10,592 = 10,592/x - Step 3: Cross multiply
9,760x = 10,592 × 10,592 - Step 4: Simplify right side
9,760x = 112,190,464 - Step 5: Solve for x
x = 112,190,464/9,760 - Step 6: Final answer
x = 11,494.92
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.