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Finding the Third Proportional to 5,923.97 and 7,949.39

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Solution

The third proportional to 5,923.97 and 7,949.39 is: 10,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.97 : 7,949.39 = 7,949.39 : x
  2. Step 2: Convert to fraction form
    5,923.97/7,949.39 = 7,949.39/x
  3. Step 3: Cross multiply
    5,923.97x = 7,949.39 × 7,949.39
  4. Step 4: Simplify right side
    5,923.97x = 63,192,811.31
  5. Step 5: Solve for x
    x = 63,192,811.31/5,923.97
  6. Step 6: Final answer
    x = 10,667.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.