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Finding the Third Proportional to 33.12 and 47.04

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Solution

The third proportional to 33.12 and 47.04 is: 66.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.12 : 47.04 = 47.04 : x
  2. Step 2: Convert to fraction form
    33.12/47.04 = 47.04/x
  3. Step 3: Cross multiply
    33.12x = 47.04 × 47.04
  4. Step 4: Simplify right side
    33.12x = 2,212.67
  5. Step 5: Solve for x
    x = 2,212.67/33.12
  6. Step 6: Final answer
    x = 66.81

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.