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Finding the Third Proportional to 36,827 and 55,225

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Solution

The third proportional to 36,827 and 55,225 is: 82,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,827 : 55,225 = 55,225 : x
  2. Step 2: Convert to fraction form
    36,827/55,225 = 55,225/x
  3. Step 3: Cross multiply
    36,827x = 55,225 × 55,225
  4. Step 4: Simplify right side
    36,827x = 3,049,800,625
  5. Step 5: Solve for x
    x = 3,049,800,625/36,827
  6. Step 6: Final answer
    x = 82,814.26

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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.