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Finding the Third Proportional to 38,204 and 57,377

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Solution

The third proportional to 38,204 and 57,377 is: 86,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204 : 57,377 = 57,377 : x
  2. Step 2: Convert to fraction form
    38,204/57,377 = 57,377/x
  3. Step 3: Cross multiply
    38,204x = 57,377 × 57,377
  4. Step 4: Simplify right side
    38,204x = 3,292,120,129
  5. Step 5: Solve for x
    x = 3,292,120,129/38,204
  6. Step 6: Final answer
    x = 86,172.13

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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.