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Finding the Third Proportional to 11,780 and 17,198

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Solution

The third proportional to 11,780 and 17,198 is: 25,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780 : 17,198 = 17,198 : x
  2. Step 2: Convert to fraction form
    11,780/17,198 = 17,198/x
  3. Step 3: Cross multiply
    11,780x = 17,198 × 17,198
  4. Step 4: Simplify right side
    11,780x = 295,771,204
  5. Step 5: Solve for x
    x = 295,771,204/11,780
  6. Step 6: Final answer
    x = 25,107.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.