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Finding the Third Proportional to 10,847.25 and 18,150.75

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Solution

The third proportional to 10,847.25 and 18,150.75 is: 30,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.25 : 18,150.75 = 18,150.75 : x
  2. Step 2: Convert to fraction form
    10,847.25/18,150.75 = 18,150.75/x
  3. Step 3: Cross multiply
    10,847.25x = 18,150.75 × 18,150.75
  4. Step 4: Simplify right side
    10,847.25x = 329,449,725.56
  5. Step 5: Solve for x
    x = 329,449,725.56/10,847.25
  6. Step 6: Final answer
    x = 30,371.73

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.