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Finding the Third Proportional to 6,625.97 and 14,163.19

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Solution

The third proportional to 6,625.97 and 14,163.19 is: 30,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.97 : 14,163.19 = 14,163.19 : x
  2. Step 2: Convert to fraction form
    6,625.97/14,163.19 = 14,163.19/x
  3. Step 3: Cross multiply
    6,625.97x = 14,163.19 × 14,163.19
  4. Step 4: Simplify right side
    6,625.97x = 200,595,880.16
  5. Step 5: Solve for x
    x = 200,595,880.16/6,625.97
  6. Step 6: Final answer
    x = 30,274.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.