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Finding the Third Proportional to 26,195 and 40,593

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Solution

The third proportional to 26,195 and 40,593 is: 62,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,195 : 40,593 = 40,593 : x
  2. Step 2: Convert to fraction form
    26,195/40,593 = 40,593/x
  3. Step 3: Cross multiply
    26,195x = 40,593 × 40,593
  4. Step 4: Simplify right side
    26,195x = 1,647,791,649
  5. Step 5: Solve for x
    x = 1,647,791,649/26,195
  6. Step 6: Final answer
    x = 62,904.82

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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.