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Finding the Third Proportional to 8,110.69 and 17,433.94

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Solution

The third proportional to 8,110.69 and 17,433.94 is: 37,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.69 : 17,433.94 = 17,433.94 : x
  2. Step 2: Convert to fraction form
    8,110.69/17,433.94 = 17,433.94/x
  3. Step 3: Cross multiply
    8,110.69x = 17,433.94 × 17,433.94
  4. Step 4: Simplify right side
    8,110.69x = 303,942,176.75
  5. Step 5: Solve for x
    x = 303,942,176.75/8,110.69
  6. Step 6: Final answer
    x = 37,474.28

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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.