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Finding the Third Proportional to 36,643.50 and 55,052.44

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Solution

The third proportional to 36,643.50 and 55,052.44 is: 82,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,643.50 : 55,052.44 = 55,052.44 : x
  2. Step 2: Convert to fraction form
    36,643.50/55,052.44 = 55,052.44/x
  3. Step 3: Cross multiply
    36,643.50x = 55,052.44 × 55,052.44
  4. Step 4: Simplify right side
    36,643.50x = 3,030,770,874.69
  5. Step 5: Solve for x
    x = 3,030,770,874.69/36,643.50
  6. Step 6: Final answer
    x = 82,709.64

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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.