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Finding the Third Proportional to 1,187.44 and 1,843.17

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Solution

The third proportional to 1,187.44 and 1,843.17 is: 2,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.44 : 1,843.17 = 1,843.17 : x
  2. Step 2: Convert to fraction form
    1,187.44/1,843.17 = 1,843.17/x
  3. Step 3: Cross multiply
    1,187.44x = 1,843.17 × 1,843.17
  4. Step 4: Simplify right side
    1,187.44x = 3,397,282.56
  5. Step 5: Solve for x
    x = 3,397,282.56/1,187.44
  6. Step 6: Final answer
    x = 2,861.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.