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Finding the Third Proportional to 21,917.25 and 47,936

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Solution

The third proportional to 21,917.25 and 47,936 is: 104,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,917.25 : 47,936 = 47,936 : x
  2. Step 2: Convert to fraction form
    21,917.25/47,936 = 47,936/x
  3. Step 3: Cross multiply
    21,917.25x = 47,936 × 47,936
  4. Step 4: Simplify right side
    21,917.25x = 2,297,860,096
  5. Step 5: Solve for x
    x = 2,297,860,096/21,917.25
  6. Step 6: Final answer
    x = 104,842.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.