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Finding the Third Proportional to 20,011 and 41,936

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Solution

The third proportional to 20,011 and 41,936 is: 87,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,011 : 41,936 = 41,936 : x
  2. Step 2: Convert to fraction form
    20,011/41,936 = 41,936/x
  3. Step 3: Cross multiply
    20,011x = 41,936 × 41,936
  4. Step 4: Simplify right side
    20,011x = 1,758,628,096
  5. Step 5: Solve for x
    x = 1,758,628,096/20,011
  6. Step 6: Final answer
    x = 87,883.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.