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Finding the Third Proportional to 2,257.31 and 3,471.19

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Solution

The third proportional to 2,257.31 and 3,471.19 is: 5,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.31 : 3,471.19 = 3,471.19 : x
  2. Step 2: Convert to fraction form
    2,257.31/3,471.19 = 3,471.19/x
  3. Step 3: Cross multiply
    2,257.31x = 3,471.19 × 3,471.19
  4. Step 4: Simplify right side
    2,257.31x = 12,049,142.66
  5. Step 5: Solve for x
    x = 12,049,142.66/2,257.31
  6. Step 6: Final answer
    x = 5,337.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.