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Finding the Third Proportional to 33.75 and 60.75

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Solution

The third proportional to 33.75 and 60.75 is: 109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.75 : 60.75 = 60.75 : x
  2. Step 2: Convert to fraction form
    33.75/60.75 = 60.75/x
  3. Step 3: Cross multiply
    33.75x = 60.75 × 60.75
  4. Step 4: Simplify right side
    33.75x = 3,690.56
  5. Step 5: Solve for x
    x = 3,690.56/33.75
  6. Step 6: Final answer
    x = 109.35

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.