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Finding the Third Proportional to 33.19 and 47.44

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Solution

The third proportional to 33.19 and 47.44 is: 67.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.19 : 47.44 = 47.44 : x
  2. Step 2: Convert to fraction form
    33.19/47.44 = 47.44/x
  3. Step 3: Cross multiply
    33.19x = 47.44 × 47.44
  4. Step 4: Simplify right side
    33.19x = 2,250.32
  5. Step 5: Solve for x
    x = 2,250.32/33.19
  6. Step 6: Final answer
    x = 67.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.