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Finding the Third Proportional to 38,096 and 57,107

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Solution

The third proportional to 38,096 and 57,107 is: 85,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096 : 57,107 = 57,107 : x
  2. Step 2: Convert to fraction form
    38,096/57,107 = 57,107/x
  3. Step 3: Cross multiply
    38,096x = 57,107 × 57,107
  4. Step 4: Simplify right side
    38,096x = 3,261,209,449
  5. Step 5: Solve for x
    x = 3,261,209,449/38,096
  6. Step 6: Final answer
    x = 85,605.04

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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.