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Finding the Third Proportional to 27,292 and 38,624

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Solution

The third proportional to 27,292 and 38,624 is: 54,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292 : 38,624 = 38,624 : x
  2. Step 2: Convert to fraction form
    27,292/38,624 = 38,624/x
  3. Step 3: Cross multiply
    27,292x = 38,624 × 38,624
  4. Step 4: Simplify right side
    27,292x = 1,491,813,376
  5. Step 5: Solve for x
    x = 1,491,813,376/27,292
  6. Step 6: Final answer
    x = 54,661.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.