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Finding the Third Proportional to 5,438 and 11,198

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Solution

The third proportional to 5,438 and 11,198 is: 23,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438 : 11,198 = 11,198 : x
  2. Step 2: Convert to fraction form
    5,438/11,198 = 11,198/x
  3. Step 3: Cross multiply
    5,438x = 11,198 × 11,198
  4. Step 4: Simplify right side
    5,438x = 125,395,204
  5. Step 5: Solve for x
    x = 125,395,204/5,438
  6. Step 6: Final answer
    x = 23,059.07

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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.