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Finding the Third Proportional to 41,353.50 and 50,425.50

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Solution

The third proportional to 41,353.50 and 50,425.50 is: 61,487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,353.50 : 50,425.50 = 50,425.50 : x
  2. Step 2: Convert to fraction form
    41,353.50/50,425.50 = 50,425.50/x
  3. Step 3: Cross multiply
    41,353.50x = 50,425.50 × 50,425.50
  4. Step 4: Simplify right side
    41,353.50x = 2,542,731,050.25
  5. Step 5: Solve for x
    x = 2,542,731,050.25/41,353.50
  6. Step 6: Final answer
    x = 61,487.69

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