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Finding the Third Proportional to 27,098 and 41,727

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Solution

The third proportional to 27,098 and 41,727 is: 64,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098 : 41,727 = 41,727 : x
  2. Step 2: Convert to fraction form
    27,098/41,727 = 41,727/x
  3. Step 3: Cross multiply
    27,098x = 41,727 × 41,727
  4. Step 4: Simplify right side
    27,098x = 1,741,142,529
  5. Step 5: Solve for x
    x = 1,741,142,529/27,098
  6. Step 6: Final answer
    x = 64,253.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.