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Finding the Third Proportional to 27,343 and 58,874

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Solution

The third proportional to 27,343 and 58,874 is: 126,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343 : 58,874 = 58,874 : x
  2. Step 2: Convert to fraction form
    27,343/58,874 = 58,874/x
  3. Step 3: Cross multiply
    27,343x = 58,874 × 58,874
  4. Step 4: Simplify right side
    27,343x = 3,466,147,876
  5. Step 5: Solve for x
    x = 3,466,147,876/27,343
  6. Step 6: Final answer
    x = 126,765.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.