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Finding the Third Proportional to 6,245.44 and 9,475.31

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Solution

The third proportional to 6,245.44 and 9,475.31 is: 14,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.44 : 9,475.31 = 9,475.31 : x
  2. Step 2: Convert to fraction form
    6,245.44/9,475.31 = 9,475.31/x
  3. Step 3: Cross multiply
    6,245.44x = 9,475.31 × 9,475.31
  4. Step 4: Simplify right side
    6,245.44x = 89,781,546.97
  5. Step 5: Solve for x
    x = 89,781,546.97/6,245.44
  6. Step 6: Final answer
    x = 14,375.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.