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Finding the Third Proportional to 22,384 and 48,762

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Solution

The third proportional to 22,384 and 48,762 is: 106,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384 : 48,762 = 48,762 : x
  2. Step 2: Convert to fraction form
    22,384/48,762 = 48,762/x
  3. Step 3: Cross multiply
    22,384x = 48,762 × 48,762
  4. Step 4: Simplify right side
    22,384x = 2,377,732,644
  5. Step 5: Solve for x
    x = 2,377,732,644/22,384
  6. Step 6: Final answer
    x = 106,224.65

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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.