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Finding the Third Proportional to 49.22 and 73.97

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Solution

The third proportional to 49.22 and 73.97 is: 111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.22 : 73.97 = 73.97 : x
  2. Step 2: Convert to fraction form
    49.22/73.97 = 73.97/x
  3. Step 3: Cross multiply
    49.22x = 73.97 × 73.97
  4. Step 4: Simplify right side
    49.22x = 5,471.38
  5. Step 5: Solve for x
    x = 5,471.38/49.22
  6. Step 6: Final answer
    x = 111.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.