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Finding the Third Proportional to 2,518.38 and 5,198.88

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Solution

The third proportional to 2,518.38 and 5,198.88 is: 10,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.38 : 5,198.88 = 5,198.88 : x
  2. Step 2: Convert to fraction form
    2,518.38/5,198.88 = 5,198.88/x
  3. Step 3: Cross multiply
    2,518.38x = 5,198.88 × 5,198.88
  4. Step 4: Simplify right side
    2,518.38x = 27,028,301.27
  5. Step 5: Solve for x
    x = 27,028,301.27/2,518.38
  6. Step 6: Final answer
    x = 10,732.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.