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Finding the Third Proportional to 17,198 and 25,733

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Solution

The third proportional to 17,198 and 25,733 is: 38,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198 : 25,733 = 25,733 : x
  2. Step 2: Convert to fraction form
    17,198/25,733 = 25,733/x
  3. Step 3: Cross multiply
    17,198x = 25,733 × 25,733
  4. Step 4: Simplify right side
    17,198x = 662,187,289
  5. Step 5: Solve for x
    x = 662,187,289/17,198
  6. Step 6: Final answer
    x = 38,503.74

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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.