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Finding the Third Proportional to 42,276 and 59,469

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Solution

The third proportional to 42,276 and 59,469 is: 83,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,276 : 59,469 = 59,469 : x
  2. Step 2: Convert to fraction form
    42,276/59,469 = 59,469/x
  3. Step 3: Cross multiply
    42,276x = 59,469 × 59,469
  4. Step 4: Simplify right side
    42,276x = 3,536,561,961
  5. Step 5: Solve for x
    x = 3,536,561,961/42,276
  6. Step 6: Final answer
    x = 83,654.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.