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Finding the Third Proportional to 837.11 and 1,839.59

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Solution

The third proportional to 837.11 and 1,839.59 is: 4,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.11 : 1,839.59 = 1,839.59 : x
  2. Step 2: Convert to fraction form
    837.11/1,839.59 = 1,839.59/x
  3. Step 3: Cross multiply
    837.11x = 1,839.59 × 1,839.59
  4. Step 4: Simplify right side
    837.11x = 3,384,076.42
  5. Step 5: Solve for x
    x = 3,384,076.42/837.11
  6. Step 6: Final answer
    x = 4,042.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.