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Finding the Third Proportional to 2,168.25 and 3,297.94

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Solution

The third proportional to 2,168.25 and 3,297.94 is: 5,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.25 : 3,297.94 = 3,297.94 : x
  2. Step 2: Convert to fraction form
    2,168.25/3,297.94 = 3,297.94/x
  3. Step 3: Cross multiply
    2,168.25x = 3,297.94 × 3,297.94
  4. Step 4: Simplify right side
    2,168.25x = 10,876,391.75
  5. Step 5: Solve for x
    x = 10,876,391.75/2,168.25
  6. Step 6: Final answer
    x = 5,016.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.