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Finding the Third Proportional to 6,777.42 and 12,163.92

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Solution

The third proportional to 6,777.42 and 12,163.92 is: 21,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.42 : 12,163.92 = 12,163.92 : x
  2. Step 2: Convert to fraction form
    6,777.42/12,163.92 = 12,163.92/x
  3. Step 3: Cross multiply
    6,777.42x = 12,163.92 × 12,163.92
  4. Step 4: Simplify right side
    6,777.42x = 147,960,995.38
  5. Step 5: Solve for x
    x = 147,960,995.38/6,777.42
  6. Step 6: Final answer
    x = 21,831.46

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.