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Finding the Third Proportional to 9,296.88 and 14,163.19

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Solution

The third proportional to 9,296.88 and 14,163.19 is: 21,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.88 : 14,163.19 = 14,163.19 : x
  2. Step 2: Convert to fraction form
    9,296.88/14,163.19 = 14,163.19/x
  3. Step 3: Cross multiply
    9,296.88x = 14,163.19 × 14,163.19
  4. Step 4: Simplify right side
    9,296.88x = 200,595,880.16
  5. Step 5: Solve for x
    x = 200,595,880.16/9,296.88
  6. Step 6: Final answer
    x = 21,576.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.