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Finding the Third Proportional to 2,698.31 and 3,794.34

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Solution

The third proportional to 2,698.31 and 3,794.34 is: 5,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.31 : 3,794.34 = 3,794.34 : x
  2. Step 2: Convert to fraction form
    2,698.31/3,794.34 = 3,794.34/x
  3. Step 3: Cross multiply
    2,698.31x = 3,794.34 × 3,794.34
  4. Step 4: Simplify right side
    2,698.31x = 14,397,044.49
  5. Step 5: Solve for x
    x = 14,397,044.49/2,698.31
  6. Step 6: Final answer
    x = 5,335.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.