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Finding the Third Proportional to 37.22 and 80.81

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Solution

The third proportional to 37.22 and 80.81 is: 175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.22 : 80.81 = 80.81 : x
  2. Step 2: Convert to fraction form
    37.22/80.81 = 80.81/x
  3. Step 3: Cross multiply
    37.22x = 80.81 × 80.81
  4. Step 4: Simplify right side
    37.22x = 6,530.66
  5. Step 5: Solve for x
    x = 6,530.66/37.22
  6. Step 6: Final answer
    x = 175.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.