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Finding the Third Proportional to 3,257.72 and 5,245.38

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Solution

The third proportional to 3,257.72 and 5,245.38 is: 8,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.72 : 5,245.38 = 5,245.38 : x
  2. Step 2: Convert to fraction form
    3,257.72/5,245.38 = 5,245.38/x
  3. Step 3: Cross multiply
    3,257.72x = 5,245.38 × 5,245.38
  4. Step 4: Simplify right side
    3,257.72x = 27,514,040.85
  5. Step 5: Solve for x
    x = 27,514,040.85/3,257.72
  6. Step 6: Final answer
    x = 8,445.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.