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Finding the Third Proportional to 3.75 and 30.75

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Solution

The third proportional to 3.75 and 30.75 is: 252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.75 : 30.75 = 30.75 : x
  2. Step 2: Convert to fraction form
    3.75/30.75 = 30.75/x
  3. Step 3: Cross multiply
    3.75x = 30.75 × 30.75
  4. Step 4: Simplify right side
    3.75x = 945.56
  5. Step 5: Solve for x
    x = 945.56/3.75
  6. Step 6: Final answer
    x = 252.15

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Why These Related Problems?

These problems maintain the same ratio (8.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.