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Finding the Third Proportional to 41,351.50 and 50,423.50

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Solution

The third proportional to 41,351.50 and 50,423.50 is: 61,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,351.50 : 50,423.50 = 50,423.50 : x
  2. Step 2: Convert to fraction form
    41,351.50/50,423.50 = 50,423.50/x
  3. Step 3: Cross multiply
    41,351.50x = 50,423.50 × 50,423.50
  4. Step 4: Simplify right side
    41,351.50x = 2,542,529,352.25
  5. Step 5: Solve for x
    x = 2,542,529,352.25/41,351.50
  6. Step 6: Final answer
    x = 61,485.78

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.