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Finding the Third Proportional to 3,213.94 and 7,042.69

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Solution

The third proportional to 3,213.94 and 7,042.69 is: 15,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.94 : 7,042.69 = 7,042.69 : x
  2. Step 2: Convert to fraction form
    3,213.94/7,042.69 = 7,042.69/x
  3. Step 3: Cross multiply
    3,213.94x = 7,042.69 × 7,042.69
  4. Step 4: Simplify right side
    3,213.94x = 49,599,447.22
  5. Step 5: Solve for x
    x = 49,599,447.22/3,213.94
  6. Step 6: Final answer
    x = 15,432.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.