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Finding the Third Proportional to 26,082 and 41,993.44

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Solution

The third proportional to 26,082 and 41,993.44 is: 67,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082 : 41,993.44 = 41,993.44 : x
  2. Step 2: Convert to fraction form
    26,082/41,993.44 = 41,993.44/x
  3. Step 3: Cross multiply
    26,082x = 41,993.44 × 41,993.44
  4. Step 4: Simplify right side
    26,082x = 1,763,448,793.07
  5. Step 5: Solve for x
    x = 1,763,448,793.07/26,082
  6. Step 6: Final answer
    x = 67,611.72

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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.