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Finding the Third Proportional to 22,996 and 47,936

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Solution

The third proportional to 22,996 and 47,936 is: 99,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996 : 47,936 = 47,936 : x
  2. Step 2: Convert to fraction form
    22,996/47,936 = 47,936/x
  3. Step 3: Cross multiply
    22,996x = 47,936 × 47,936
  4. Step 4: Simplify right side
    22,996x = 2,297,860,096
  5. Step 5: Solve for x
    x = 2,297,860,096/22,996
  6. Step 6: Final answer
    x = 99,924.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.