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Finding the Third Proportional to 26,740 and 58,098

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Solution

The third proportional to 26,740 and 58,098 is: 126,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,740 : 58,098 = 58,098 : x
  2. Step 2: Convert to fraction form
    26,740/58,098 = 58,098/x
  3. Step 3: Cross multiply
    26,740x = 58,098 × 58,098
  4. Step 4: Simplify right side
    26,740x = 3,375,377,604
  5. Step 5: Solve for x
    x = 3,375,377,604/26,740
  6. Step 6: Final answer
    x = 126,229.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.