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Finding the Third Proportional to 36,872.72 and 55,288.83

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Solution

The third proportional to 36,872.72 and 55,288.83 is: 82,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,872.72 : 55,288.83 = 55,288.83 : x
  2. Step 2: Convert to fraction form
    36,872.72/55,288.83 = 55,288.83/x
  3. Step 3: Cross multiply
    36,872.72x = 55,288.83 × 55,288.83
  4. Step 4: Simplify right side
    36,872.72x = 3,056,854,515.44
  5. Step 5: Solve for x
    x = 3,056,854,515.44/36,872.72
  6. Step 6: Final answer
    x = 82,902.88

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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.