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Finding the Third Proportional to 11,702 and 27,624

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Solution

The third proportional to 11,702 and 27,624 is: 65,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702 : 27,624 = 27,624 : x
  2. Step 2: Convert to fraction form
    11,702/27,624 = 27,624/x
  3. Step 3: Cross multiply
    11,702x = 27,624 × 27,624
  4. Step 4: Simplify right side
    11,702x = 763,085,376
  5. Step 5: Solve for x
    x = 763,085,376/11,702
  6. Step 6: Final answer
    x = 65,209.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.