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Finding the Third Proportional to 24,392 and 49,936

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Solution

The third proportional to 24,392 and 49,936 is: 102,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392 : 49,936 = 49,936 : x
  2. Step 2: Convert to fraction form
    24,392/49,936 = 49,936/x
  3. Step 3: Cross multiply
    24,392x = 49,936 × 49,936
  4. Step 4: Simplify right side
    24,392x = 2,493,604,096
  5. Step 5: Solve for x
    x = 2,493,604,096/24,392
  6. Step 6: Final answer
    x = 102,230.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.