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Finding the Third Proportional to 37,118 and 57,449

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Solution

The third proportional to 37,118 and 57,449 is: 88,916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,118 : 57,449 = 57,449 : x
  2. Step 2: Convert to fraction form
    37,118/57,449 = 57,449/x
  3. Step 3: Cross multiply
    37,118x = 57,449 × 57,449
  4. Step 4: Simplify right side
    37,118x = 3,300,387,601
  5. Step 5: Solve for x
    x = 3,300,387,601/37,118
  6. Step 6: Final answer
    x = 88,916.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.