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Finding the Third Proportional to 36,227 and 76,814

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Solution

The third proportional to 36,227 and 76,814 is: 162,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,227 : 76,814 = 76,814 : x
  2. Step 2: Convert to fraction form
    36,227/76,814 = 76,814/x
  3. Step 3: Cross multiply
    36,227x = 76,814 × 76,814
  4. Step 4: Simplify right side
    36,227x = 5,900,390,596
  5. Step 5: Solve for x
    x = 5,900,390,596/36,227
  6. Step 6: Final answer
    x = 162,872.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.