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Finding the Third Proportional to 3,994.31 and 6,253.31

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Solution

The third proportional to 3,994.31 and 6,253.31 is: 9,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.31 : 6,253.31 = 6,253.31 : x
  2. Step 2: Convert to fraction form
    3,994.31/6,253.31 = 6,253.31/x
  3. Step 3: Cross multiply
    3,994.31x = 6,253.31 × 6,253.31
  4. Step 4: Simplify right side
    3,994.31x = 39,103,917.22
  5. Step 5: Solve for x
    x = 39,103,917.22/3,994.31
  6. Step 6: Final answer
    x = 9,789.90

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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.