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Finding the Third Proportional to 9,794 and 20,870

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Solution

The third proportional to 9,794 and 20,870 is: 44,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794 : 20,870 = 20,870 : x
  2. Step 2: Convert to fraction form
    9,794/20,870 = 20,870/x
  3. Step 3: Cross multiply
    9,794x = 20,870 × 20,870
  4. Step 4: Simplify right side
    9,794x = 435,556,900
  5. Step 5: Solve for x
    x = 435,556,900/9,794
  6. Step 6: Final answer
    x = 44,471.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.