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Finding the Third Proportional to 38,525 and 57,631

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Solution

The third proportional to 38,525 and 57,631 is: 86,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525 : 57,631 = 57,631 : x
  2. Step 2: Convert to fraction form
    38,525/57,631 = 57,631/x
  3. Step 3: Cross multiply
    38,525x = 57,631 × 57,631
  4. Step 4: Simplify right side
    38,525x = 3,321,332,161
  5. Step 5: Solve for x
    x = 3,321,332,161/38,525
  6. Step 6: Final answer
    x = 86,212.39

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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.