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Finding the Third Proportional to 21,060 and 48,762

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Solution

The third proportional to 21,060 and 48,762 is: 112,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,060 : 48,762 = 48,762 : x
  2. Step 2: Convert to fraction form
    21,060/48,762 = 48,762/x
  3. Step 3: Cross multiply
    21,060x = 48,762 × 48,762
  4. Step 4: Simplify right side
    21,060x = 2,377,732,644
  5. Step 5: Solve for x
    x = 2,377,732,644/21,060
  6. Step 6: Final answer
    x = 112,902.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.