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Finding the Third Proportional to 2,593.27 and 3,889.90

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Solution

The third proportional to 2,593.27 and 3,889.90 is: 5,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.27 : 3,889.90 = 3,889.90 : x
  2. Step 2: Convert to fraction form
    2,593.27/3,889.90 = 3,889.90/x
  3. Step 3: Cross multiply
    2,593.27x = 3,889.90 × 3,889.90
  4. Step 4: Simplify right side
    2,593.27x = 15,131,309.85
  5. Step 5: Solve for x
    x = 15,131,309.85/2,593.27
  6. Step 6: Final answer
    x = 5,834.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.