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Finding the Third Proportional to 4,217.63 and 6,163.88

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Solution

The third proportional to 4,217.63 and 6,163.88 is: 9,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.63 : 6,163.88 = 6,163.88 : x
  2. Step 2: Convert to fraction form
    4,217.63/6,163.88 = 6,163.88/x
  3. Step 3: Cross multiply
    4,217.63x = 6,163.88 × 6,163.88
  4. Step 4: Simplify right side
    4,217.63x = 37,993,355.02
  5. Step 5: Solve for x
    x = 37,993,355.02/4,217.63
  6. Step 6: Final answer
    x = 9,008.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.