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Finding the Third Proportional to 22,971 and 50,044

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Solution

The third proportional to 22,971 and 50,044 is: 109,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971 : 50,044 = 50,044 : x
  2. Step 2: Convert to fraction form
    22,971/50,044 = 50,044/x
  3. Step 3: Cross multiply
    22,971x = 50,044 × 50,044
  4. Step 4: Simplify right side
    22,971x = 2,504,401,936
  5. Step 5: Solve for x
    x = 2,504,401,936/22,971
  6. Step 6: Final answer
    x = 109,024.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.