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Finding the Third Proportional to 50,727.75 and 68,049.75

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Solution

The third proportional to 50,727.75 and 68,049.75 is: 91,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,727.75 : 68,049.75 = 68,049.75 : x
  2. Step 2: Convert to fraction form
    50,727.75/68,049.75 = 68,049.75/x
  3. Step 3: Cross multiply
    50,727.75x = 68,049.75 × 68,049.75
  4. Step 4: Simplify right side
    50,727.75x = 4,630,768,475.06
  5. Step 5: Solve for x
    x = 4,630,768,475.06/50,727.75
  6. Step 6: Final answer
    x = 91,286.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.