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Finding the Third Proportional to 3,272.91 and 7,206.47

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Solution

The third proportional to 3,272.91 and 7,206.47 is: 15,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.91 : 7,206.47 = 7,206.47 : x
  2. Step 2: Convert to fraction form
    3,272.91/7,206.47 = 7,206.47/x
  3. Step 3: Cross multiply
    3,272.91x = 7,206.47 × 7,206.47
  4. Step 4: Simplify right side
    3,272.91x = 51,933,191.84
  5. Step 5: Solve for x
    x = 51,933,191.84/3,272.91
  6. Step 6: Final answer
    x = 15,867.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.