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Finding the Third Proportional to 39,632 and 86,552

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Solution

The third proportional to 39,632 and 86,552 is: 189,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,632 : 86,552 = 86,552 : x
  2. Step 2: Convert to fraction form
    39,632/86,552 = 86,552/x
  3. Step 3: Cross multiply
    39,632x = 86,552 × 86,552
  4. Step 4: Simplify right side
    39,632x = 7,491,248,704
  5. Step 5: Solve for x
    x = 7,491,248,704/39,632
  6. Step 6: Final answer
    x = 189,020.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.