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Finding the Third Proportional to 29.75 and 33.75

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Solution

The third proportional to 29.75 and 33.75 is: 38.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 33.75 = 33.75 : x
  2. Step 2: Convert to fraction form
    29.75/33.75 = 33.75/x
  3. Step 3: Cross multiply
    29.75x = 33.75 × 33.75
  4. Step 4: Simplify right side
    29.75x = 1,139.06
  5. Step 5: Solve for x
    x = 1,139.06/29.75
  6. Step 6: Final answer
    x = 38.29

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.