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Finding the Third Proportional to 5,743.13 and 12,562.88

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Solution

The third proportional to 5,743.13 and 12,562.88 is: 27,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.13 : 12,562.88 = 12,562.88 : x
  2. Step 2: Convert to fraction form
    5,743.13/12,562.88 = 12,562.88/x
  3. Step 3: Cross multiply
    5,743.13x = 12,562.88 × 12,562.88
  4. Step 4: Simplify right side
    5,743.13x = 157,825,828.27
  5. Step 5: Solve for x
    x = 157,825,828.27/5,743.13
  6. Step 6: Final answer
    x = 27,480.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.