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Finding the Third Proportional to 10,454 and 22,812

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Solution

The third proportional to 10,454 and 22,812 is: 49,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454 : 22,812 = 22,812 : x
  2. Step 2: Convert to fraction form
    10,454/22,812 = 22,812/x
  3. Step 3: Cross multiply
    10,454x = 22,812 × 22,812
  4. Step 4: Simplify right side
    10,454x = 520,387,344
  5. Step 5: Solve for x
    x = 520,387,344/10,454
  6. Step 6: Final answer
    x = 49,778.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.