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Finding the Third Proportional to 3,996.28 and 6,268.78

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Solution

The third proportional to 3,996.28 and 6,268.78 is: 9,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.28 : 6,268.78 = 6,268.78 : x
  2. Step 2: Convert to fraction form
    3,996.28/6,268.78 = 6,268.78/x
  3. Step 3: Cross multiply
    3,996.28x = 6,268.78 × 6,268.78
  4. Step 4: Simplify right side
    3,996.28x = 39,297,618.36
  5. Step 5: Solve for x
    x = 39,297,618.36/3,996.28
  6. Step 6: Final answer
    x = 9,833.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.