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Finding the Third Proportional to 11,223 and 23,811

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Solution

The third proportional to 11,223 and 23,811 is: 50,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223 : 23,811 = 23,811 : x
  2. Step 2: Convert to fraction form
    11,223/23,811 = 23,811/x
  3. Step 3: Cross multiply
    11,223x = 23,811 × 23,811
  4. Step 4: Simplify right side
    11,223x = 566,963,721
  5. Step 5: Solve for x
    x = 566,963,721/11,223
  6. Step 6: Final answer
    x = 50,518.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.