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Finding the Third Proportional to 30 and 32.75

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Solution

The third proportional to 30 and 32.75 is: 35.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 32.75 = 32.75 : x
  2. Step 2: Convert to fraction form
    30/32.75 = 32.75/x
  3. Step 3: Cross multiply
    30x = 32.75 × 32.75
  4. Step 4: Simplify right side
    30x = 1,072.56
  5. Step 5: Solve for x
    x = 1,072.56/30
  6. Step 6: Final answer
    x = 35.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.