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Finding the Third Proportional to 42,509 and 62,467

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Solution

The third proportional to 42,509 and 62,467 is: 91,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,509 : 62,467 = 62,467 : x
  2. Step 2: Convert to fraction form
    42,509/62,467 = 62,467/x
  3. Step 3: Cross multiply
    42,509x = 62,467 × 62,467
  4. Step 4: Simplify right side
    42,509x = 3,902,126,089
  5. Step 5: Solve for x
    x = 3,902,126,089/42,509
  6. Step 6: Final answer
    x = 91,795.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.