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Finding the Third Proportional to 3,195.07 and 4,294.27

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Solution

The third proportional to 3,195.07 and 4,294.27 is: 5,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.07 : 4,294.27 = 4,294.27 : x
  2. Step 2: Convert to fraction form
    3,195.07/4,294.27 = 4,294.27/x
  3. Step 3: Cross multiply
    3,195.07x = 4,294.27 × 4,294.27
  4. Step 4: Simplify right side
    3,195.07x = 18,440,717.26
  5. Step 5: Solve for x
    x = 18,440,717.26/3,195.07
  6. Step 6: Final answer
    x = 5,771.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.