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Finding the Third Proportional to 82 and 91

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Solution

The third proportional to 82 and 91 is: 100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 91 = 91 : x
  2. Step 2: Convert to fraction form
    82/91 = 91/x
  3. Step 3: Cross multiply
    82x = 91 × 91
  4. Step 4: Simplify right side
    82x = 8,281
  5. Step 5: Solve for x
    x = 8,281/82
  6. Step 6: Final answer
    x = 100.99

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.