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Finding the Third Proportional to 3,273.75 and 7,247.81

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Solution

The third proportional to 3,273.75 and 7,247.81 is: 16,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.75 : 7,247.81 = 7,247.81 : x
  2. Step 2: Convert to fraction form
    3,273.75/7,247.81 = 7,247.81/x
  3. Step 3: Cross multiply
    3,273.75x = 7,247.81 × 7,247.81
  4. Step 4: Simplify right side
    3,273.75x = 52,530,786.04
  5. Step 5: Solve for x
    x = 52,530,786.04/3,273.75
  6. Step 6: Final answer
    x = 16,046.06

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.