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Finding the Third Proportional to 36.19 and 77.81

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Solution

The third proportional to 36.19 and 77.81 is: 167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.19 : 77.81 = 77.81 : x
  2. Step 2: Convert to fraction form
    36.19/77.81 = 77.81/x
  3. Step 3: Cross multiply
    36.19x = 77.81 × 77.81
  4. Step 4: Simplify right side
    36.19x = 6,054.79
  5. Step 5: Solve for x
    x = 6,054.79/36.19
  6. Step 6: Final answer
    x = 167.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.