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Finding the Third Proportional to 36,615 and 54,777

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Solution

The third proportional to 36,615 and 54,777 is: 81,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,615 : 54,777 = 54,777 : x
  2. Step 2: Convert to fraction form
    36,615/54,777 = 54,777/x
  3. Step 3: Cross multiply
    36,615x = 54,777 × 54,777
  4. Step 4: Simplify right side
    36,615x = 3,000,519,729
  5. Step 5: Solve for x
    x = 3,000,519,729/36,615
  6. Step 6: Final answer
    x = 81,947.83

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Why These Related Problems?

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