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Finding the Third Proportional to 8,958.73 and 19,231.17

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Solution

The third proportional to 8,958.73 and 19,231.17 is: 41,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,958.73 : 19,231.17 = 19,231.17 : x
  2. Step 2: Convert to fraction form
    8,958.73/19,231.17 = 19,231.17/x
  3. Step 3: Cross multiply
    8,958.73x = 19,231.17 × 19,231.17
  4. Step 4: Simplify right side
    8,958.73x = 369,837,971.69
  5. Step 5: Solve for x
    x = 369,837,971.69/8,958.73
  6. Step 6: Final answer
    x = 41,282.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.