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Finding the Third Proportional to 4,055.17 and 8,716.46

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Solution

The third proportional to 4,055.17 and 8,716.46 is: 18,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.17 : 8,716.46 = 8,716.46 : x
  2. Step 2: Convert to fraction form
    4,055.17/8,716.46 = 8,716.46/x
  3. Step 3: Cross multiply
    4,055.17x = 8,716.46 × 8,716.46
  4. Step 4: Simplify right side
    4,055.17x = 75,976,759.37
  5. Step 5: Solve for x
    x = 75,976,759.37/4,055.17
  6. Step 6: Final answer
    x = 18,735.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.