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Finding the Third Proportional to 36,777 and 55,155

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Solution

The third proportional to 36,777 and 55,155 is: 82,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,777 : 55,155 = 55,155 : x
  2. Step 2: Convert to fraction form
    36,777/55,155 = 55,155/x
  3. Step 3: Cross multiply
    36,777x = 55,155 × 55,155
  4. Step 4: Simplify right side
    36,777x = 3,042,074,025
  5. Step 5: Solve for x
    x = 3,042,074,025/36,777
  6. Step 6: Final answer
    x = 82,716.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.