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Finding the Third Proportional to 22,936 and 50,296

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Solution

The third proportional to 22,936 and 50,296 is: 110,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936 : 50,296 = 50,296 : x
  2. Step 2: Convert to fraction form
    22,936/50,296 = 50,296/x
  3. Step 3: Cross multiply
    22,936x = 50,296 × 50,296
  4. Step 4: Simplify right side
    22,936x = 2,529,687,616
  5. Step 5: Solve for x
    x = 2,529,687,616/22,936
  6. Step 6: Final answer
    x = 110,293.32

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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.