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Finding the Third Proportional to 8,398.69 and 20,034.84

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Solution

The third proportional to 8,398.69 and 20,034.84 is: 47,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.69 : 20,034.84 = 20,034.84 : x
  2. Step 2: Convert to fraction form
    8,398.69/20,034.84 = 20,034.84/x
  3. Step 3: Cross multiply
    8,398.69x = 20,034.84 × 20,034.84
  4. Step 4: Simplify right side
    8,398.69x = 401,394,964.09
  5. Step 5: Solve for x
    x = 401,394,964.09/8,398.69
  6. Step 6: Final answer
    x = 47,792.58

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.