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Finding the Third Proportional to 8,694 and 20,019

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Solution

The third proportional to 8,694 and 20,019 is: 46,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694 : 20,019 = 20,019 : x
  2. Step 2: Convert to fraction form
    8,694/20,019 = 20,019/x
  3. Step 3: Cross multiply
    8,694x = 20,019 × 20,019
  4. Step 4: Simplify right side
    8,694x = 400,760,361
  5. Step 5: Solve for x
    x = 400,760,361/8,694
  6. Step 6: Final answer
    x = 46,096.20

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.