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Finding the Third Proportional to 1,612.62 and 2,270.96

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Solution

The third proportional to 1,612.62 and 2,270.96 is: 3,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.62 : 2,270.96 = 2,270.96 : x
  2. Step 2: Convert to fraction form
    1,612.62/2,270.96 = 2,270.96/x
  3. Step 3: Cross multiply
    1,612.62x = 2,270.96 × 2,270.96
  4. Step 4: Simplify right side
    1,612.62x = 5,157,265.52
  5. Step 5: Solve for x
    x = 5,157,265.52/1,612.62
  6. Step 6: Final answer
    x = 3,198.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.