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Finding the Third Proportional to 9,212.17 and 20,269.62

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Solution

The third proportional to 9,212.17 and 20,269.62 is: 44,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.17 : 20,269.62 = 20,269.62 : x
  2. Step 2: Convert to fraction form
    9,212.17/20,269.62 = 20,269.62/x
  3. Step 3: Cross multiply
    9,212.17x = 20,269.62 × 20,269.62
  4. Step 4: Simplify right side
    9,212.17x = 410,857,380.93
  5. Step 5: Solve for x
    x = 410,857,380.93/9,212.17
  6. Step 6: Final answer
    x = 44,599.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.