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Finding the Third Proportional to 38,099 and 82,462

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Solution

The third proportional to 38,099 and 82,462 is: 178,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099 : 82,462 = 82,462 : x
  2. Step 2: Convert to fraction form
    38,099/82,462 = 82,462/x
  3. Step 3: Cross multiply
    38,099x = 82,462 × 82,462
  4. Step 4: Simplify right side
    38,099x = 6,799,981,444
  5. Step 5: Solve for x
    x = 6,799,981,444/38,099
  6. Step 6: Final answer
    x = 178,481.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.