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Finding the Third Proportional to 4,190.06 and 4,716.56

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Solution

The third proportional to 4,190.06 and 4,716.56 is: 5,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.06 : 4,716.56 = 4,716.56 : x
  2. Step 2: Convert to fraction form
    4,190.06/4,716.56 = 4,716.56/x
  3. Step 3: Cross multiply
    4,190.06x = 4,716.56 × 4,716.56
  4. Step 4: Simplify right side
    4,190.06x = 22,245,961.82
  5. Step 5: Solve for x
    x = 22,245,961.82/4,190.06
  6. Step 6: Final answer
    x = 5,309.22

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.