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Finding the Third Proportional to 23,928 and 49,049

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Solution

The third proportional to 23,928 and 49,049 is: 100,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,928 : 49,049 = 49,049 : x
  2. Step 2: Convert to fraction form
    23,928/49,049 = 49,049/x
  3. Step 3: Cross multiply
    23,928x = 49,049 × 49,049
  4. Step 4: Simplify right side
    23,928x = 2,405,804,401
  5. Step 5: Solve for x
    x = 2,405,804,401/23,928
  6. Step 6: Final answer
    x = 100,543.48

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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.