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Finding the Third Proportional to 26,589.38 and 41,166.13

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Solution

The third proportional to 26,589.38 and 41,166.13 is: 63,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,589.38 : 41,166.13 = 41,166.13 : x
  2. Step 2: Convert to fraction form
    26,589.38/41,166.13 = 41,166.13/x
  3. Step 3: Cross multiply
    26,589.38x = 41,166.13 × 41,166.13
  4. Step 4: Simplify right side
    26,589.38x = 1,694,649,847.52
  5. Step 5: Solve for x
    x = 1,694,649,847.52/26,589.38
  6. Step 6: Final answer
    x = 63,734.10

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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.