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Finding the Third Proportional to 5,872.88 and 12,230.75

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Solution

The third proportional to 5,872.88 and 12,230.75 is: 25,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.88 : 12,230.75 = 12,230.75 : x
  2. Step 2: Convert to fraction form
    5,872.88/12,230.75 = 12,230.75/x
  3. Step 3: Cross multiply
    5,872.88x = 12,230.75 × 12,230.75
  4. Step 4: Simplify right side
    5,872.88x = 149,591,245.56
  5. Step 5: Solve for x
    x = 149,591,245.56/5,872.88
  6. Step 6: Final answer
    x = 25,471.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.