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Finding the Third Proportional to 31,998 and 50,190

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Solution

The third proportional to 31,998 and 50,190 is: 78,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998 : 50,190 = 50,190 : x
  2. Step 2: Convert to fraction form
    31,998/50,190 = 50,190/x
  3. Step 3: Cross multiply
    31,998x = 50,190 × 50,190
  4. Step 4: Simplify right side
    31,998x = 2,519,036,100
  5. Step 5: Solve for x
    x = 2,519,036,100/31,998
  6. Step 6: Final answer
    x = 78,724.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.