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Finding the Third Proportional to 83.11 and 94.92

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Solution

The third proportional to 83.11 and 94.92 is: 108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.11 : 94.92 = 94.92 : x
  2. Step 2: Convert to fraction form
    83.11/94.92 = 94.92/x
  3. Step 3: Cross multiply
    83.11x = 94.92 × 94.92
  4. Step 4: Simplify right side
    83.11x = 9,010.16
  5. Step 5: Solve for x
    x = 9,010.16/83.11
  6. Step 6: Final answer
    x = 108.41

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.