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Finding the Third Proportional to 17,198 and 25,718

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Solution

The third proportional to 17,198 and 25,718 is: 38,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198 : 25,718 = 25,718 : x
  2. Step 2: Convert to fraction form
    17,198/25,718 = 25,718/x
  3. Step 3: Cross multiply
    17,198x = 25,718 × 25,718
  4. Step 4: Simplify right side
    17,198x = 661,415,524
  5. Step 5: Solve for x
    x = 661,415,524/17,198
  6. Step 6: Final answer
    x = 38,458.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.