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Finding the Third Proportional to 38,934 and 57,102

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Solution

The third proportional to 38,934 and 57,102 is: 83,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,934 : 57,102 = 57,102 : x
  2. Step 2: Convert to fraction form
    38,934/57,102 = 57,102/x
  3. Step 3: Cross multiply
    38,934x = 57,102 × 57,102
  4. Step 4: Simplify right side
    38,934x = 3,260,638,404
  5. Step 5: Solve for x
    x = 3,260,638,404/38,934
  6. Step 6: Final answer
    x = 83,747.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.