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Finding the Third Proportional to 36,911.81 and 80,589.94

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Solution

The third proportional to 36,911.81 and 80,589.94 is: 175,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,911.81 : 80,589.94 = 80,589.94 : x
  2. Step 2: Convert to fraction form
    36,911.81/80,589.94 = 80,589.94/x
  3. Step 3: Cross multiply
    36,911.81x = 80,589.94 × 80,589.94
  4. Step 4: Simplify right side
    36,911.81x = 6,494,738,026.25
  5. Step 5: Solve for x
    x = 6,494,738,026.25/36,911.81
  6. Step 6: Final answer
    x = 175,952.83

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