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Finding the Third Proportional to 1,229.45 and 1,843.70

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Solution

The third proportional to 1,229.45 and 1,843.70 is: 2,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.45 : 1,843.70 = 1,843.70 : x
  2. Step 2: Convert to fraction form
    1,229.45/1,843.70 = 1,843.70/x
  3. Step 3: Cross multiply
    1,229.45x = 1,843.70 × 1,843.70
  4. Step 4: Simplify right side
    1,229.45x = 3,399,226.81
  5. Step 5: Solve for x
    x = 3,399,226.81/1,229.45
  6. Step 6: Final answer
    x = 2,764.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.