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Finding the Third Proportional to 32,860 and 50,990

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Solution

The third proportional to 32,860 and 50,990 is: 79,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,860 : 50,990 = 50,990 : x
  2. Step 2: Convert to fraction form
    32,860/50,990 = 50,990/x
  3. Step 3: Cross multiply
    32,860x = 50,990 × 50,990
  4. Step 4: Simplify right side
    32,860x = 2,599,980,100
  5. Step 5: Solve for x
    x = 2,599,980,100/32,860
  6. Step 6: Final answer
    x = 79,122.95

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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.