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Finding the Third Proportional to 23,747.50 and 50,177

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Solution

The third proportional to 23,747.50 and 50,177 is: 106,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,747.50 : 50,177 = 50,177 : x
  2. Step 2: Convert to fraction form
    23,747.50/50,177 = 50,177/x
  3. Step 3: Cross multiply
    23,747.50x = 50,177 × 50,177
  4. Step 4: Simplify right side
    23,747.50x = 2,517,731,329
  5. Step 5: Solve for x
    x = 2,517,731,329/23,747.50
  6. Step 6: Final answer
    x = 106,020.90

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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.