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Finding the Third Proportional to 3,272.91 and 7,115.34

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Solution

The third proportional to 3,272.91 and 7,115.34 is: 15,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.91 : 7,115.34 = 7,115.34 : x
  2. Step 2: Convert to fraction form
    3,272.91/7,115.34 = 7,115.34/x
  3. Step 3: Cross multiply
    3,272.91x = 7,115.34 × 7,115.34
  4. Step 4: Simplify right side
    3,272.91x = 50,628,116.68
  5. Step 5: Solve for x
    x = 50,628,116.68/3,272.91
  6. Step 6: Final answer
    x = 15,468.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.