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Finding the Third Proportional to 4,115.81 and 8,046.84

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Solution

The third proportional to 4,115.81 and 8,046.84 is: 15,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.81 : 8,046.84 = 8,046.84 : x
  2. Step 2: Convert to fraction form
    4,115.81/8,046.84 = 8,046.84/x
  3. Step 3: Cross multiply
    4,115.81x = 8,046.84 × 8,046.84
  4. Step 4: Simplify right side
    4,115.81x = 64,751,694.34
  5. Step 5: Solve for x
    x = 64,751,694.34/4,115.81
  6. Step 6: Final answer
    x = 15,732.42

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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.