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Finding the Third Proportional to 10,624 and 22,463

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Solution

The third proportional to 10,624 and 22,463 is: 47,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624 : 22,463 = 22,463 : x
  2. Step 2: Convert to fraction form
    10,624/22,463 = 22,463/x
  3. Step 3: Cross multiply
    10,624x = 22,463 × 22,463
  4. Step 4: Simplify right side
    10,624x = 504,586,369
  5. Step 5: Solve for x
    x = 504,586,369/10,624
  6. Step 6: Final answer
    x = 47,494.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.