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Finding the Third Proportional to 38,267 and 57,438

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Solution

The third proportional to 38,267 and 57,438 is: 86,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,267 : 57,438 = 57,438 : x
  2. Step 2: Convert to fraction form
    38,267/57,438 = 57,438/x
  3. Step 3: Cross multiply
    38,267x = 57,438 × 57,438
  4. Step 4: Simplify right side
    38,267x = 3,299,123,844
  5. Step 5: Solve for x
    x = 3,299,123,844/38,267
  6. Step 6: Final answer
    x = 86,213.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.