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Finding the Third Proportional to 36 and 95.75

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Solution

The third proportional to 36 and 95.75 is: 254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 95.75 = 95.75 : x
  2. Step 2: Convert to fraction form
    36/95.75 = 95.75/x
  3. Step 3: Cross multiply
    36x = 95.75 × 95.75
  4. Step 4: Simplify right side
    36x = 9,168.06
  5. Step 5: Solve for x
    x = 9,168.06/36
  6. Step 6: Final answer
    x = 254.67

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.