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Finding the Third Proportional to 36.81 and 80.26

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Solution

The third proportional to 36.81 and 80.26 is: 175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.81 : 80.26 = 80.26 : x
  2. Step 2: Convert to fraction form
    36.81/80.26 = 80.26/x
  3. Step 3: Cross multiply
    36.81x = 80.26 × 80.26
  4. Step 4: Simplify right side
    36.81x = 6,441.94
  5. Step 5: Solve for x
    x = 6,441.94/36.81
  6. Step 6: Final answer
    x = 175.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.