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Finding the Third Proportional to 61.94 and 82.82

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Solution

The third proportional to 61.94 and 82.82 is: 110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.94 : 82.82 = 82.82 : x
  2. Step 2: Convert to fraction form
    61.94/82.82 = 82.82/x
  3. Step 3: Cross multiply
    61.94x = 82.82 × 82.82
  4. Step 4: Simplify right side
    61.94x = 6,859.04
  5. Step 5: Solve for x
    x = 6,859.04/61.94
  6. Step 6: Final answer
    x = 110.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.