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Finding the Third Proportional to 3,927.94 and 8,470.97

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Solution

The third proportional to 3,927.94 and 8,470.97 is: 18,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.94 : 8,470.97 = 8,470.97 : x
  2. Step 2: Convert to fraction form
    3,927.94/8,470.97 = 8,470.97/x
  3. Step 3: Cross multiply
    3,927.94x = 8,470.97 × 8,470.97
  4. Step 4: Simplify right side
    3,927.94x = 71,757,311.56
  5. Step 5: Solve for x
    x = 71,757,311.56/3,927.94
  6. Step 6: Final answer
    x = 18,268.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.