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Finding the Third Proportional to 3,221.16 and 4,716.56

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Solution

The third proportional to 3,221.16 and 4,716.56 is: 6,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.16 : 4,716.56 = 4,716.56 : x
  2. Step 2: Convert to fraction form
    3,221.16/4,716.56 = 4,716.56/x
  3. Step 3: Cross multiply
    3,221.16x = 4,716.56 × 4,716.56
  4. Step 4: Simplify right side
    3,221.16x = 22,245,961.82
  5. Step 5: Solve for x
    x = 22,245,961.82/3,221.16
  6. Step 6: Final answer
    x = 6,906.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.