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Finding the Third Proportional to 31,920 and 50,994

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Solution

The third proportional to 31,920 and 50,994 is: 81,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920 : 50,994 = 50,994 : x
  2. Step 2: Convert to fraction form
    31,920/50,994 = 50,994/x
  3. Step 3: Cross multiply
    31,920x = 50,994 × 50,994
  4. Step 4: Simplify right side
    31,920x = 2,600,388,036
  5. Step 5: Solve for x
    x = 2,600,388,036/31,920
  6. Step 6: Final answer
    x = 81,465.79

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.