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Finding the Third Proportional to 38,062 and 54,098

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Solution

The third proportional to 38,062 and 54,098 is: 76,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,062 : 54,098 = 54,098 : x
  2. Step 2: Convert to fraction form
    38,062/54,098 = 54,098/x
  3. Step 3: Cross multiply
    38,062x = 54,098 × 54,098
  4. Step 4: Simplify right side
    38,062x = 2,926,593,604
  5. Step 5: Solve for x
    x = 2,926,593,604/38,062
  6. Step 6: Final answer
    x = 76,890.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.