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Finding the Third Proportional to 36 and 96

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Solution

The third proportional to 36 and 96 is: 256

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 96 = 96 : x
  2. Step 2: Convert to fraction form
    36/96 = 96/x
  3. Step 3: Cross multiply
    36x = 96 × 96
  4. Step 4: Simplify right side
    36x = 9,216
  5. Step 5: Solve for x
    x = 9,216/36
  6. Step 6: Final answer
    x = 256

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Why These Related Problems?

These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.