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Finding the Third Proportional to 34 and 37.75

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Solution

The third proportional to 34 and 37.75 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 37.75 = 37.75 : x
  2. Step 2: Convert to fraction form
    34/37.75 = 37.75/x
  3. Step 3: Cross multiply
    34x = 37.75 × 37.75
  4. Step 4: Simplify right side
    34x = 1,425.06
  5. Step 5: Solve for x
    x = 1,425.06/34
  6. Step 6: Final answer
    x = 41.91

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.