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Finding the Third Proportional to 33.34 and 36.94

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Solution

The third proportional to 33.34 and 36.94 is: 40.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.34 : 36.94 = 36.94 : x
  2. Step 2: Convert to fraction form
    33.34/36.94 = 36.94/x
  3. Step 3: Cross multiply
    33.34x = 36.94 × 36.94
  4. Step 4: Simplify right side
    33.34x = 1,364.69
  5. Step 5: Solve for x
    x = 1,364.69/33.34
  6. Step 6: Final answer
    x = 40.94

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.