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Finding the Third Proportional to 6,069.94 and 8,163.28

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Solution

The third proportional to 6,069.94 and 8,163.28 is: 10,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.94 : 8,163.28 = 8,163.28 : x
  2. Step 2: Convert to fraction form
    6,069.94/8,163.28 = 8,163.28/x
  3. Step 3: Cross multiply
    6,069.94x = 8,163.28 × 8,163.28
  4. Step 4: Simplify right side
    6,069.94x = 66,639,160.77
  5. Step 5: Solve for x
    x = 66,639,160.77/6,069.94
  6. Step 6: Final answer
    x = 10,978.56

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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.