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Finding the Third Proportional to 18,469 and 27,727

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Solution

The third proportional to 18,469 and 27,727 is: 41,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,469 : 27,727 = 27,727 : x
  2. Step 2: Convert to fraction form
    18,469/27,727 = 27,727/x
  3. Step 3: Cross multiply
    18,469x = 27,727 × 27,727
  4. Step 4: Simplify right side
    18,469x = 768,786,529
  5. Step 5: Solve for x
    x = 768,786,529/18,469
  6. Step 6: Final answer
    x = 41,625.78

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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.