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Finding the Third Proportional to 4,163.63 and 6,233.63

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Solution

The third proportional to 4,163.63 and 6,233.63 is: 9,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.63 : 6,233.63 = 6,233.63 : x
  2. Step 2: Convert to fraction form
    4,163.63/6,233.63 = 6,233.63/x
  3. Step 3: Cross multiply
    4,163.63x = 6,233.63 × 6,233.63
  4. Step 4: Simplify right side
    4,163.63x = 38,858,080.64
  5. Step 5: Solve for x
    x = 38,858,080.64/4,163.63
  6. Step 6: Final answer
    x = 9,332.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.