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Finding the Third Proportional to 8,149.99 and 11,840.55

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Solution

The third proportional to 8,149.99 and 11,840.55 is: 17,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.99 : 11,840.55 = 11,840.55 : x
  2. Step 2: Convert to fraction form
    8,149.99/11,840.55 = 11,840.55/x
  3. Step 3: Cross multiply
    8,149.99x = 11,840.55 × 11,840.55
  4. Step 4: Simplify right side
    8,149.99x = 140,198,735.31
  5. Step 5: Solve for x
    x = 140,198,735.31/8,149.99
  6. Step 6: Final answer
    x = 17,202.32

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.