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Finding the Third Proportional to 26,002 and 41,872

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Solution

The third proportional to 26,002 and 41,872 is: 67,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,002 : 41,872 = 41,872 : x
  2. Step 2: Convert to fraction form
    26,002/41,872 = 41,872/x
  3. Step 3: Cross multiply
    26,002x = 41,872 × 41,872
  4. Step 4: Simplify right side
    26,002x = 1,753,264,384
  5. Step 5: Solve for x
    x = 1,753,264,384/26,002
  6. Step 6: Final answer
    x = 67,428.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.