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Finding the Third Proportional to 33.94 and 40.97

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Solution

The third proportional to 33.94 and 40.97 is: 49.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.94 : 40.97 = 40.97 : x
  2. Step 2: Convert to fraction form
    33.94/40.97 = 40.97/x
  3. Step 3: Cross multiply
    33.94x = 40.97 × 40.97
  4. Step 4: Simplify right side
    33.94x = 1,678.44
  5. Step 5: Solve for x
    x = 1,678.44/33.94
  6. Step 6: Final answer
    x = 49.46

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.