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Finding the Third Proportional to 17,965 and 38,198

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Solution

The third proportional to 17,965 and 38,198 is: 81,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965 : 38,198 = 38,198 : x
  2. Step 2: Convert to fraction form
    17,965/38,198 = 38,198/x
  3. Step 3: Cross multiply
    17,965x = 38,198 × 38,198
  4. Step 4: Simplify right side
    17,965x = 1,459,087,204
  5. Step 5: Solve for x
    x = 1,459,087,204/17,965
  6. Step 6: Final answer
    x = 81,218.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.