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Finding the Third Proportional to 9,198 and 20,306

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Solution

The third proportional to 9,198 and 20,306 is: 44,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 20,306 = 20,306 : x
  2. Step 2: Convert to fraction form
    9,198/20,306 = 20,306/x
  3. Step 3: Cross multiply
    9,198x = 20,306 × 20,306
  4. Step 4: Simplify right side
    9,198x = 412,333,636
  5. Step 5: Solve for x
    x = 412,333,636/9,198
  6. Step 6: Final answer
    x = 44,828.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.