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Finding the Third Proportional to 3,227.25 and 7,109.25

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Solution

The third proportional to 3,227.25 and 7,109.25 is: 15,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.25 : 7,109.25 = 7,109.25 : x
  2. Step 2: Convert to fraction form
    3,227.25/7,109.25 = 7,109.25/x
  3. Step 3: Cross multiply
    3,227.25x = 7,109.25 × 7,109.25
  4. Step 4: Simplify right side
    3,227.25x = 50,541,435.56
  5. Step 5: Solve for x
    x = 50,541,435.56/3,227.25
  6. Step 6: Final answer
    x = 15,660.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.