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Finding the Third Proportional to 3,286.91 and 7,092.80

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Solution

The third proportional to 3,286.91 and 7,092.80 is: 15,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.91 : 7,092.80 = 7,092.80 : x
  2. Step 2: Convert to fraction form
    3,286.91/7,092.80 = 7,092.80/x
  3. Step 3: Cross multiply
    3,286.91x = 7,092.80 × 7,092.80
  4. Step 4: Simplify right side
    3,286.91x = 50,307,809.07
  5. Step 5: Solve for x
    x = 50,307,809.07/3,286.91
  6. Step 6: Final answer
    x = 15,305.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.