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Finding the Third Proportional to 36,000 and 73,782

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Solution

The third proportional to 36,000 and 73,782 is: 151,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000 : 73,782 = 73,782 : x
  2. Step 2: Convert to fraction form
    36,000/73,782 = 73,782/x
  3. Step 3: Cross multiply
    36,000x = 73,782 × 73,782
  4. Step 4: Simplify right side
    36,000x = 5,443,783,524
  5. Step 5: Solve for x
    x = 5,443,783,524/36,000
  6. Step 6: Final answer
    x = 151,216.21

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.