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Finding the Third Proportional to 36,679 and 55,100

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Solution

The third proportional to 36,679 and 55,100 is: 82,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,679 : 55,100 = 55,100 : x
  2. Step 2: Convert to fraction form
    36,679/55,100 = 55,100/x
  3. Step 3: Cross multiply
    36,679x = 55,100 × 55,100
  4. Step 4: Simplify right side
    36,679x = 3,036,010,000
  5. Step 5: Solve for x
    x = 3,036,010,000/36,679
  6. Step 6: Final answer
    x = 82,772.43

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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.