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Finding the Third Proportional to 37.94 and 50.97

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Solution

The third proportional to 37.94 and 50.97 is: 68.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.94 : 50.97 = 50.97 : x
  2. Step 2: Convert to fraction form
    37.94/50.97 = 50.97/x
  3. Step 3: Cross multiply
    37.94x = 50.97 × 50.97
  4. Step 4: Simplify right side
    37.94x = 2,597.81
  5. Step 5: Solve for x
    x = 2,597.81/37.94
  6. Step 6: Final answer
    x = 68.48

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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.