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Finding the Third Proportional to 8,198 and 17,632

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Solution

The third proportional to 8,198 and 17,632 is: 37,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198 : 17,632 = 17,632 : x
  2. Step 2: Convert to fraction form
    8,198/17,632 = 17,632/x
  3. Step 3: Cross multiply
    8,198x = 17,632 × 17,632
  4. Step 4: Simplify right side
    8,198x = 310,887,424
  5. Step 5: Solve for x
    x = 310,887,424/8,198
  6. Step 6: Final answer
    x = 37,922.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.