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Finding the Third Proportional to 17,198 and 36,644

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Solution

The third proportional to 17,198 and 36,644 is: 78,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198 : 36,644 = 36,644 : x
  2. Step 2: Convert to fraction form
    17,198/36,644 = 36,644/x
  3. Step 3: Cross multiply
    17,198x = 36,644 × 36,644
  4. Step 4: Simplify right side
    17,198x = 1,342,782,736
  5. Step 5: Solve for x
    x = 1,342,782,736/17,198
  6. Step 6: Final answer
    x = 78,077.84

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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.