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Finding the Third Proportional to 38,227 and 81,098

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Solution

The third proportional to 38,227 and 81,098 is: 172,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227 : 81,098 = 81,098 : x
  2. Step 2: Convert to fraction form
    38,227/81,098 = 81,098/x
  3. Step 3: Cross multiply
    38,227x = 81,098 × 81,098
  4. Step 4: Simplify right side
    38,227x = 6,576,885,604
  5. Step 5: Solve for x
    x = 6,576,885,604/38,227
  6. Step 6: Final answer
    x = 172,048.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.