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Finding the Third Proportional to 36,828 and 76,936

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Solution

The third proportional to 36,828 and 76,936 is: 160,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,828 : 76,936 = 76,936 : x
  2. Step 2: Convert to fraction form
    36,828/76,936 = 76,936/x
  3. Step 3: Cross multiply
    36,828x = 76,936 × 76,936
  4. Step 4: Simplify right side
    36,828x = 5,919,148,096
  5. Step 5: Solve for x
    x = 5,919,148,096/36,828
  6. Step 6: Final answer
    x = 160,724.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.