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Finding the Third Proportional to 32,813 and 50,907

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Solution

The third proportional to 32,813 and 50,907 is: 78,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813 : 50,907 = 50,907 : x
  2. Step 2: Convert to fraction form
    32,813/50,907 = 50,907/x
  3. Step 3: Cross multiply
    32,813x = 50,907 × 50,907
  4. Step 4: Simplify right side
    32,813x = 2,591,522,649
  5. Step 5: Solve for x
    x = 2,591,522,649/32,813
  6. Step 6: Final answer
    x = 78,978.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.