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Finding the Third Proportional to 38,098 and 57,110

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Solution

The third proportional to 38,098 and 57,110 is: 85,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098 : 57,110 = 57,110 : x
  2. Step 2: Convert to fraction form
    38,098/57,110 = 57,110/x
  3. Step 3: Cross multiply
    38,098x = 57,110 × 57,110
  4. Step 4: Simplify right side
    38,098x = 3,261,552,100
  5. Step 5: Solve for x
    x = 3,261,552,100/38,098
  6. Step 6: Final answer
    x = 85,609.54

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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.