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Finding the Third Proportional to 3,454.69 and 5,404.31

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Solution

The third proportional to 3,454.69 and 5,404.31 is: 8,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.69 : 5,404.31 = 5,404.31 : x
  2. Step 2: Convert to fraction form
    3,454.69/5,404.31 = 5,404.31/x
  3. Step 3: Cross multiply
    3,454.69x = 5,404.31 × 5,404.31
  4. Step 4: Simplify right side
    3,454.69x = 29,206,593.60
  5. Step 5: Solve for x
    x = 29,206,593.60/3,454.69
  6. Step 6: Final answer
    x = 8,454.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.