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Finding the Third Proportional to 34 and 38.13

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Solution

The third proportional to 34 and 38.13 is: 42.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 38.13 = 38.13 : x
  2. Step 2: Convert to fraction form
    34/38.13 = 38.13/x
  3. Step 3: Cross multiply
    34x = 38.13 × 38.13
  4. Step 4: Simplify right side
    34x = 1,453.52
  5. Step 5: Solve for x
    x = 1,453.52/34
  6. Step 6: Final answer
    x = 42.75

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.