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Finding the Third Proportional to 26,600 and 41,161

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Solution

The third proportional to 26,600 and 41,161 is: 63,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,600 : 41,161 = 41,161 : x
  2. Step 2: Convert to fraction form
    26,600/41,161 = 41,161/x
  3. Step 3: Cross multiply
    26,600x = 41,161 × 41,161
  4. Step 4: Simplify right side
    26,600x = 1,694,227,921
  5. Step 5: Solve for x
    x = 1,694,227,921/26,600
  6. Step 6: Final answer
    x = 63,692.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.