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Finding the Third Proportional to 3,405.38 and 5,104.69

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Solution

The third proportional to 3,405.38 and 5,104.69 is: 7,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.38 : 5,104.69 = 5,104.69 : x
  2. Step 2: Convert to fraction form
    3,405.38/5,104.69 = 5,104.69/x
  3. Step 3: Cross multiply
    3,405.38x = 5,104.69 × 5,104.69
  4. Step 4: Simplify right side
    3,405.38x = 26,057,834.47
  5. Step 5: Solve for x
    x = 26,057,834.47/3,405.38
  6. Step 6: Final answer
    x = 7,651.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.