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Finding the Third Proportional to 24,100 and 50,044

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Solution

The third proportional to 24,100 and 50,044 is: 103,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100 : 50,044 = 50,044 : x
  2. Step 2: Convert to fraction form
    24,100/50,044 = 50,044/x
  3. Step 3: Cross multiply
    24,100x = 50,044 × 50,044
  4. Step 4: Simplify right side
    24,100x = 2,504,401,936
  5. Step 5: Solve for x
    x = 2,504,401,936/24,100
  6. Step 6: Final answer
    x = 103,917.09

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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.