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Finding the Third Proportional to 29.11 and 38.39

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Solution

The third proportional to 29.11 and 38.39 is: 50.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.11 : 38.39 = 38.39 : x
  2. Step 2: Convert to fraction form
    29.11/38.39 = 38.39/x
  3. Step 3: Cross multiply
    29.11x = 38.39 × 38.39
  4. Step 4: Simplify right side
    29.11x = 1,473.84
  5. Step 5: Solve for x
    x = 1,473.84/29.11
  6. Step 6: Final answer
    x = 50.63

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.