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Finding the Third Proportional to 3,753.75 and 5,036.44

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Solution

The third proportional to 3,753.75 and 5,036.44 is: 6,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.75 : 5,036.44 = 5,036.44 : x
  2. Step 2: Convert to fraction form
    3,753.75/5,036.44 = 5,036.44/x
  3. Step 3: Cross multiply
    3,753.75x = 5,036.44 × 5,036.44
  4. Step 4: Simplify right side
    3,753.75x = 25,365,702.69
  5. Step 5: Solve for x
    x = 25,365,702.69/3,753.75
  6. Step 6: Final answer
    x = 6,757.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.