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Finding the Third Proportional to 3,247.75 and 7,102.75

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Solution

The third proportional to 3,247.75 and 7,102.75 is: 15,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.75 : 7,102.75 = 7,102.75 : x
  2. Step 2: Convert to fraction form
    3,247.75/7,102.75 = 7,102.75/x
  3. Step 3: Cross multiply
    3,247.75x = 7,102.75 × 7,102.75
  4. Step 4: Simplify right side
    3,247.75x = 50,449,057.56
  5. Step 5: Solve for x
    x = 50,449,057.56/3,247.75
  6. Step 6: Final answer
    x = 15,533.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.