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Finding the Third Proportional to 11,198 and 23,317

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Solution

The third proportional to 11,198 and 23,317 is: 48,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198 : 23,317 = 23,317 : x
  2. Step 2: Convert to fraction form
    11,198/23,317 = 23,317/x
  3. Step 3: Cross multiply
    11,198x = 23,317 × 23,317
  4. Step 4: Simplify right side
    11,198x = 543,682,489
  5. Step 5: Solve for x
    x = 543,682,489/11,198
  6. Step 6: Final answer
    x = 48,551.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.