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Finding the Third Proportional to 32,990 and 50,967

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Solution

The third proportional to 32,990 and 50,967 is: 78,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990 : 50,967 = 50,967 : x
  2. Step 2: Convert to fraction form
    32,990/50,967 = 50,967/x
  3. Step 3: Cross multiply
    32,990x = 50,967 × 50,967
  4. Step 4: Simplify right side
    32,990x = 2,597,635,089
  5. Step 5: Solve for x
    x = 2,597,635,089/32,990
  6. Step 6: Final answer
    x = 78,740.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.