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Finding the Third Proportional to 1,228.29 and 1,839.59

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Solution

The third proportional to 1,228.29 and 1,839.59 is: 2,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.29 : 1,839.59 = 1,839.59 : x
  2. Step 2: Convert to fraction form
    1,228.29/1,839.59 = 1,839.59/x
  3. Step 3: Cross multiply
    1,228.29x = 1,839.59 × 1,839.59
  4. Step 4: Simplify right side
    1,228.29x = 3,384,076.42
  5. Step 5: Solve for x
    x = 3,384,076.42/1,228.29
  6. Step 6: Final answer
    x = 2,755.11

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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.