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Finding the Third Proportional to 8,396.44 and 18,290.81

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Solution

The third proportional to 8,396.44 and 18,290.81 is: 39,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.44 : 18,290.81 = 18,290.81 : x
  2. Step 2: Convert to fraction form
    8,396.44/18,290.81 = 18,290.81/x
  3. Step 3: Cross multiply
    8,396.44x = 18,290.81 × 18,290.81
  4. Step 4: Simplify right side
    8,396.44x = 334,553,821.91
  5. Step 5: Solve for x
    x = 334,553,821.91/8,396.44
  6. Step 6: Final answer
    x = 39,844.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.