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Finding the Third Proportional to 8,119.75 and 12,231.88

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Solution

The third proportional to 8,119.75 and 12,231.88 is: 18,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.75 : 12,231.88 = 12,231.88 : x
  2. Step 2: Convert to fraction form
    8,119.75/12,231.88 = 12,231.88/x
  3. Step 3: Cross multiply
    8,119.75x = 12,231.88 × 12,231.88
  4. Step 4: Simplify right side
    8,119.75x = 149,618,766.02
  5. Step 5: Solve for x
    x = 149,618,766.02/8,119.75
  6. Step 6: Final answer
    x = 18,426.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.