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Finding the Third Proportional to 4,494.94 and 6,739.31

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Solution

The third proportional to 4,494.94 and 6,739.31 is: 10,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.94 : 6,739.31 = 6,739.31 : x
  2. Step 2: Convert to fraction form
    4,494.94/6,739.31 = 6,739.31/x
  3. Step 3: Cross multiply
    4,494.94x = 6,739.31 × 6,739.31
  4. Step 4: Simplify right side
    4,494.94x = 45,418,332.97
  5. Step 5: Solve for x
    x = 45,418,332.97/4,494.94
  6. Step 6: Final answer
    x = 10,104.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.