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Finding the Third Proportional to 37.13 and 82.22

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Solution

The third proportional to 37.13 and 82.22 is: 182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.13 : 82.22 = 82.22 : x
  2. Step 2: Convert to fraction form
    37.13/82.22 = 82.22/x
  3. Step 3: Cross multiply
    37.13x = 82.22 × 82.22
  4. Step 4: Simplify right side
    37.13x = 6,759.92
  5. Step 5: Solve for x
    x = 6,759.92/37.13
  6. Step 6: Final answer
    x = 182.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.