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Finding the Third Proportional to 41,632 and 63,491

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Solution

The third proportional to 41,632 and 63,491 is: 96,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,632 : 63,491 = 63,491 : x
  2. Step 2: Convert to fraction form
    41,632/63,491 = 63,491/x
  3. Step 3: Cross multiply
    41,632x = 63,491 × 63,491
  4. Step 4: Simplify right side
    41,632x = 4,031,107,081
  5. Step 5: Solve for x
    x = 4,031,107,081/41,632
  6. Step 6: Final answer
    x = 96,827.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.