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Finding the Third Proportional to 8,372 and 17,116

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Solution

The third proportional to 8,372 and 17,116 is: 34,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372 : 17,116 = 17,116 : x
  2. Step 2: Convert to fraction form
    8,372/17,116 = 17,116/x
  3. Step 3: Cross multiply
    8,372x = 17,116 × 17,116
  4. Step 4: Simplify right side
    8,372x = 292,957,456
  5. Step 5: Solve for x
    x = 292,957,456/8,372
  6. Step 6: Final answer
    x = 34,992.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.