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Finding the Third Proportional to 2,104.31 and 3,115.69

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Solution

The third proportional to 2,104.31 and 3,115.69 is: 4,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.31 : 3,115.69 = 3,115.69 : x
  2. Step 2: Convert to fraction form
    2,104.31/3,115.69 = 3,115.69/x
  3. Step 3: Cross multiply
    2,104.31x = 3,115.69 × 3,115.69
  4. Step 4: Simplify right side
    2,104.31x = 9,707,508.60
  5. Step 5: Solve for x
    x = 9,707,508.60/2,104.31
  6. Step 6: Final answer
    x = 4,613.15

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.