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Finding the Third Proportional to 4,744.97 and 6,944.91

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Solution

The third proportional to 4,744.97 and 6,944.91 is: 10,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.97 : 6,944.91 = 6,944.91 : x
  2. Step 2: Convert to fraction form
    4,744.97/6,944.91 = 6,944.91/x
  3. Step 3: Cross multiply
    4,744.97x = 6,944.91 × 6,944.91
  4. Step 4: Simplify right side
    4,744.97x = 48,231,722.82
  5. Step 5: Solve for x
    x = 48,231,722.82/4,744.97
  6. Step 6: Final answer
    x = 10,164.81

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