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Finding the Third Proportional to 32,914 and 50,979

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Solution

The third proportional to 32,914 and 50,979 is: 78,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914 : 50,979 = 50,979 : x
  2. Step 2: Convert to fraction form
    32,914/50,979 = 50,979/x
  3. Step 3: Cross multiply
    32,914x = 50,979 × 50,979
  4. Step 4: Simplify right side
    32,914x = 2,598,858,441
  5. Step 5: Solve for x
    x = 2,598,858,441/32,914
  6. Step 6: Final answer
    x = 78,959.06

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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.