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Finding the Third Proportional to 18,702 and 27,499

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Solution

The third proportional to 18,702 and 27,499 is: 40,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702 : 27,499 = 27,499 : x
  2. Step 2: Convert to fraction form
    18,702/27,499 = 27,499/x
  3. Step 3: Cross multiply
    18,702x = 27,499 × 27,499
  4. Step 4: Simplify right side
    18,702x = 756,195,001
  5. Step 5: Solve for x
    x = 756,195,001/18,702
  6. Step 6: Final answer
    x = 40,433.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.