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Finding the Third Proportional to 3,728.25 and 8,040.38

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Solution

The third proportional to 3,728.25 and 8,040.38 is: 17,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.25 : 8,040.38 = 8,040.38 : x
  2. Step 2: Convert to fraction form
    3,728.25/8,040.38 = 8,040.38/x
  3. Step 3: Cross multiply
    3,728.25x = 8,040.38 × 8,040.38
  4. Step 4: Simplify right side
    3,728.25x = 64,647,630.14
  5. Step 5: Solve for x
    x = 64,647,630.14/3,728.25
  6. Step 6: Final answer
    x = 17,339.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.