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Finding the Third Proportional to 3,169.97 and 7,345.69

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Solution

The third proportional to 3,169.97 and 7,345.69 is: 17,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.97 : 7,345.69 = 7,345.69 : x
  2. Step 2: Convert to fraction form
    3,169.97/7,345.69 = 7,345.69/x
  3. Step 3: Cross multiply
    3,169.97x = 7,345.69 × 7,345.69
  4. Step 4: Simplify right side
    3,169.97x = 53,959,124.85
  5. Step 5: Solve for x
    x = 53,959,124.85/3,169.97
  6. Step 6: Final answer
    x = 17,021.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.