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Finding the Third Proportional to 13,471.31 and 27,613.41

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Solution

The third proportional to 13,471.31 and 27,613.41 is: 56,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.31 : 27,613.41 = 27,613.41 : x
  2. Step 2: Convert to fraction form
    13,471.31/27,613.41 = 27,613.41/x
  3. Step 3: Cross multiply
    13,471.31x = 27,613.41 × 27,613.41
  4. Step 4: Simplify right side
    13,471.31x = 762,500,204.73
  5. Step 5: Solve for x
    x = 762,500,204.73/13,471.31
  6. Step 6: Final answer
    x = 56,601.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.