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Finding the Third Proportional to 20,624 and 27,496

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Solution

The third proportional to 20,624 and 27,496 is: 36,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624 : 27,496 = 27,496 : x
  2. Step 2: Convert to fraction form
    20,624/27,496 = 27,496/x
  3. Step 3: Cross multiply
    20,624x = 27,496 × 27,496
  4. Step 4: Simplify right side
    20,624x = 756,030,016
  5. Step 5: Solve for x
    x = 756,030,016/20,624
  6. Step 6: Final answer
    x = 36,657.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.