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Finding the Third Proportional to 26,863 and 59,087

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Solution

The third proportional to 26,863 and 59,087 is: 129,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,863 : 59,087 = 59,087 : x
  2. Step 2: Convert to fraction form
    26,863/59,087 = 59,087/x
  3. Step 3: Cross multiply
    26,863x = 59,087 × 59,087
  4. Step 4: Simplify right side
    26,863x = 3,491,273,569
  5. Step 5: Solve for x
    x = 3,491,273,569/26,863
  6. Step 6: Final answer
    x = 129,965.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.