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Finding the Third Proportional to 29.44 and 39.33

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Solution

The third proportional to 29.44 and 39.33 is: 52.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.44 : 39.33 = 39.33 : x
  2. Step 2: Convert to fraction form
    29.44/39.33 = 39.33/x
  3. Step 3: Cross multiply
    29.44x = 39.33 × 39.33
  4. Step 4: Simplify right side
    29.44x = 1,546.70
  5. Step 5: Solve for x
    x = 1,546.70/29.44
  6. Step 6: Final answer
    x = 52.54

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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.