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Finding the Third Proportional to 3,612.94 and 5,404.22

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Solution

The third proportional to 3,612.94 and 5,404.22 is: 8,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.94 : 5,404.22 = 5,404.22 : x
  2. Step 2: Convert to fraction form
    3,612.94/5,404.22 = 5,404.22/x
  3. Step 3: Cross multiply
    3,612.94x = 5,404.22 × 5,404.22
  4. Step 4: Simplify right side
    3,612.94x = 29,205,580.30
  5. Step 5: Solve for x
    x = 29,205,580.30/3,612.94
  6. Step 6: Final answer
    x = 8,083.61

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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.