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Finding the Third Proportional to 3,279.73 and 7,077.66

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Solution

The third proportional to 3,279.73 and 7,077.66 is: 15,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.73 : 7,077.66 = 7,077.66 : x
  2. Step 2: Convert to fraction form
    3,279.73/7,077.66 = 7,077.66/x
  3. Step 3: Cross multiply
    3,279.73x = 7,077.66 × 7,077.66
  4. Step 4: Simplify right side
    3,279.73x = 50,093,217.99
  5. Step 5: Solve for x
    x = 50,093,217.99/3,279.73
  6. Step 6: Final answer
    x = 15,273.60

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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.