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Finding the Third Proportional to 32,879 and 50,925

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Solution

The third proportional to 32,879 and 50,925 is: 78,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,879 : 50,925 = 50,925 : x
  2. Step 2: Convert to fraction form
    32,879/50,925 = 50,925/x
  3. Step 3: Cross multiply
    32,879x = 50,925 × 50,925
  4. Step 4: Simplify right side
    32,879x = 2,593,355,625
  5. Step 5: Solve for x
    x = 2,593,355,625/32,879
  6. Step 6: Final answer
    x = 78,875.75

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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.