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Finding the Third Proportional to 5,729.25 and 11,741.25

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Solution

The third proportional to 5,729.25 and 11,741.25 is: 24,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.25 : 11,741.25 = 11,741.25 : x
  2. Step 2: Convert to fraction form
    5,729.25/11,741.25 = 11,741.25/x
  3. Step 3: Cross multiply
    5,729.25x = 11,741.25 × 11,741.25
  4. Step 4: Simplify right side
    5,729.25x = 137,856,951.56
  5. Step 5: Solve for x
    x = 137,856,951.56/5,729.25
  6. Step 6: Final answer
    x = 24,061.95

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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.