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Finding the Third Proportional to 1,318.78 and 2,789.44

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Solution

The third proportional to 1,318.78 and 2,789.44 is: 5,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.78 : 2,789.44 = 2,789.44 : x
  2. Step 2: Convert to fraction form
    1,318.78/2,789.44 = 2,789.44/x
  3. Step 3: Cross multiply
    1,318.78x = 2,789.44 × 2,789.44
  4. Step 4: Simplify right side
    1,318.78x = 7,780,961.57
  5. Step 5: Solve for x
    x = 7,780,961.57/1,318.78
  6. Step 6: Final answer
    x = 5,900.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.