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Finding the Third Proportional to 23,728 and 50,944

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Solution

The third proportional to 23,728 and 50,944 is: 109,376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728 : 50,944 = 50,944 : x
  2. Step 2: Convert to fraction form
    23,728/50,944 = 50,944/x
  3. Step 3: Cross multiply
    23,728x = 50,944 × 50,944
  4. Step 4: Simplify right side
    23,728x = 2,595,291,136
  5. Step 5: Solve for x
    x = 2,595,291,136/23,728
  6. Step 6: Final answer
    x = 109,376.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.