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Finding the Third Proportional to 36,311.50 and 50,003

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Solution

The third proportional to 36,311.50 and 50,003 is: 68,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,311.50 : 50,003 = 50,003 : x
  2. Step 2: Convert to fraction form
    36,311.50/50,003 = 50,003/x
  3. Step 3: Cross multiply
    36,311.50x = 50,003 × 50,003
  4. Step 4: Simplify right side
    36,311.50x = 2,500,300,009
  5. Step 5: Solve for x
    x = 2,500,300,009/36,311.50
  6. Step 6: Final answer
    x = 68,856.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.