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Finding the Third Proportional to 23,749 and 50,179

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Solution

The third proportional to 23,749 and 50,179 is: 106,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,749 : 50,179 = 50,179 : x
  2. Step 2: Convert to fraction form
    23,749/50,179 = 50,179/x
  3. Step 3: Cross multiply
    23,749x = 50,179 × 50,179
  4. Step 4: Simplify right side
    23,749x = 2,517,932,041
  5. Step 5: Solve for x
    x = 2,517,932,041/23,749
  6. Step 6: Final answer
    x = 106,022.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.