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Finding the Third Proportional to 32,811.38 and 50,902.88

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Solution

The third proportional to 32,811.38 and 50,902.88 is: 78,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811.38 : 50,902.88 = 50,902.88 : x
  2. Step 2: Convert to fraction form
    32,811.38/50,902.88 = 50,902.88/x
  3. Step 3: Cross multiply
    32,811.38x = 50,902.88 × 50,902.88
  4. Step 4: Simplify right side
    32,811.38x = 2,591,102,683.27
  5. Step 5: Solve for x
    x = 2,591,102,683.27/32,811.38
  6. Step 6: Final answer
    x = 78,969.65

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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.