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Finding the Third Proportional to 3,757.75 and 8,036.75

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Solution

The third proportional to 3,757.75 and 8,036.75 is: 17,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.75 : 8,036.75 = 8,036.75 : x
  2. Step 2: Convert to fraction form
    3,757.75/8,036.75 = 8,036.75/x
  3. Step 3: Cross multiply
    3,757.75x = 8,036.75 × 8,036.75
  4. Step 4: Simplify right side
    3,757.75x = 64,589,350.56
  5. Step 5: Solve for x
    x = 64,589,350.56/3,757.75
  6. Step 6: Final answer
    x = 17,188.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.