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Finding the Third Proportional to 50,992.75 and 71,682.25

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Solution

The third proportional to 50,992.75 and 71,682.25 is: 100,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,992.75 : 71,682.25 = 71,682.25 : x
  2. Step 2: Convert to fraction form
    50,992.75/71,682.25 = 71,682.25/x
  3. Step 3: Cross multiply
    50,992.75x = 71,682.25 × 71,682.25
  4. Step 4: Simplify right side
    50,992.75x = 5,138,344,965.06
  5. Step 5: Solve for x
    x = 5,138,344,965.06/50,992.75
  6. Step 6: Final answer
    x = 100,766.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.