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Finding the Third Proportional to 8,202.38 and 17,908.31

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Solution

The third proportional to 8,202.38 and 17,908.31 is: 39,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.38 : 17,908.31 = 17,908.31 : x
  2. Step 2: Convert to fraction form
    8,202.38/17,908.31 = 17,908.31/x
  3. Step 3: Cross multiply
    8,202.38x = 17,908.31 × 17,908.31
  4. Step 4: Simplify right side
    8,202.38x = 320,707,656.60
  5. Step 5: Solve for x
    x = 320,707,656.60/8,202.38
  6. Step 6: Final answer
    x = 39,099.37

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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.