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Finding the Third Proportional to 6,857.44 and 9,192.66

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Solution

The third proportional to 6,857.44 and 9,192.66 is: 12,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.44 : 9,192.66 = 9,192.66 : x
  2. Step 2: Convert to fraction form
    6,857.44/9,192.66 = 9,192.66/x
  3. Step 3: Cross multiply
    6,857.44x = 9,192.66 × 9,192.66
  4. Step 4: Simplify right side
    6,857.44x = 84,504,928.93
  5. Step 5: Solve for x
    x = 84,504,928.93/6,857.44
  6. Step 6: Final answer
    x = 12,323.11

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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.