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Finding the Third Proportional to 3,994.31 and 8,499.09

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Solution

The third proportional to 3,994.31 and 8,499.09 is: 18,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.31 : 8,499.09 = 8,499.09 : x
  2. Step 2: Convert to fraction form
    3,994.31/8,499.09 = 8,499.09/x
  3. Step 3: Cross multiply
    3,994.31x = 8,499.09 × 8,499.09
  4. Step 4: Simplify right side
    3,994.31x = 72,234,594.57
  5. Step 5: Solve for x
    x = 72,234,594.57/3,994.31
  6. Step 6: Final answer
    x = 18,084.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.