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Finding the Third Proportional to 26,180 and 41,698

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Solution

The third proportional to 26,180 and 41,698 is: 66,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,180 : 41,698 = 41,698 : x
  2. Step 2: Convert to fraction form
    26,180/41,698 = 41,698/x
  3. Step 3: Cross multiply
    26,180x = 41,698 × 41,698
  4. Step 4: Simplify right side
    26,180x = 1,738,723,204
  5. Step 5: Solve for x
    x = 1,738,723,204/26,180
  6. Step 6: Final answer
    x = 66,414.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.