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Finding the Third Proportional to 27,669 and 41,531

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Solution

The third proportional to 27,669 and 41,531 is: 62,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,669 : 41,531 = 41,531 : x
  2. Step 2: Convert to fraction form
    27,669/41,531 = 41,531/x
  3. Step 3: Cross multiply
    27,669x = 41,531 × 41,531
  4. Step 4: Simplify right side
    27,669x = 1,724,823,961
  5. Step 5: Solve for x
    x = 1,724,823,961/27,669
  6. Step 6: Final answer
    x = 62,337.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.