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Finding the Third Proportional to 5,786.72 and 12,474.56

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Solution

The third proportional to 5,786.72 and 12,474.56 is: 26,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.72 : 12,474.56 = 12,474.56 : x
  2. Step 2: Convert to fraction form
    5,786.72/12,474.56 = 12,474.56/x
  3. Step 3: Cross multiply
    5,786.72x = 12,474.56 × 12,474.56
  4. Step 4: Simplify right side
    5,786.72x = 155,614,709.57
  5. Step 5: Solve for x
    x = 155,614,709.57/5,786.72
  6. Step 6: Final answer
    x = 26,891.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.