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Finding the Third Proportional to 36,491 and 77,691

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Solution

The third proportional to 36,491 and 77,691 is: 165,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,491 : 77,691 = 77,691 : x
  2. Step 2: Convert to fraction form
    36,491/77,691 = 77,691/x
  3. Step 3: Cross multiply
    36,491x = 77,691 × 77,691
  4. Step 4: Simplify right side
    36,491x = 6,035,891,481
  5. Step 5: Solve for x
    x = 6,035,891,481/36,491
  6. Step 6: Final answer
    x = 165,407.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.