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Finding the Third Proportional to 8,241.25 and 12,757.25

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Solution

The third proportional to 8,241.25 and 12,757.25 is: 19,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.25 : 12,757.25 = 12,757.25 : x
  2. Step 2: Convert to fraction form
    8,241.25/12,757.25 = 12,757.25/x
  3. Step 3: Cross multiply
    8,241.25x = 12,757.25 × 12,757.25
  4. Step 4: Simplify right side
    8,241.25x = 162,747,427.56
  5. Step 5: Solve for x
    x = 162,747,427.56/8,241.25
  6. Step 6: Final answer
    x = 19,747.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.