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Finding the Third Proportional to 29.75 and 34.75

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Solution

The third proportional to 29.75 and 34.75 is: 40.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 34.75 = 34.75 : x
  2. Step 2: Convert to fraction form
    29.75/34.75 = 34.75/x
  3. Step 3: Cross multiply
    29.75x = 34.75 × 34.75
  4. Step 4: Simplify right side
    29.75x = 1,207.56
  5. Step 5: Solve for x
    x = 1,207.56/29.75
  6. Step 6: Final answer
    x = 40.59

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.