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Finding the Third Proportional to 26,001 and 41,873

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Solution

The third proportional to 26,001 and 41,873 is: 67,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,001 : 41,873 = 41,873 : x
  2. Step 2: Convert to fraction form
    26,001/41,873 = 41,873/x
  3. Step 3: Cross multiply
    26,001x = 41,873 × 41,873
  4. Step 4: Simplify right side
    26,001x = 1,753,348,129
  5. Step 5: Solve for x
    x = 1,753,348,129/26,001
  6. Step 6: Final answer
    x = 67,433.87

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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.