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Finding the Third Proportional to 9,198 and 13,405

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Solution

The third proportional to 9,198 and 13,405 is: 19,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 13,405 = 13,405 : x
  2. Step 2: Convert to fraction form
    9,198/13,405 = 13,405/x
  3. Step 3: Cross multiply
    9,198x = 13,405 × 13,405
  4. Step 4: Simplify right side
    9,198x = 179,694,025
  5. Step 5: Solve for x
    x = 179,694,025/9,198
  6. Step 6: Final answer
    x = 19,536.21

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