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Finding the Third Proportional to 45,571.50 and 50,431.50

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Solution

The third proportional to 45,571.50 and 50,431.50 is: 55,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,571.50 : 50,431.50 = 50,431.50 : x
  2. Step 2: Convert to fraction form
    45,571.50/50,431.50 = 50,431.50/x
  3. Step 3: Cross multiply
    45,571.50x = 50,431.50 × 50,431.50
  4. Step 4: Simplify right side
    45,571.50x = 2,543,336,192.25
  5. Step 5: Solve for x
    x = 2,543,336,192.25/45,571.50
  6. Step 6: Final answer
    x = 55,809.80

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.