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Finding the Third Proportional to 2,964.09 and 6,391.41

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Solution

The third proportional to 2,964.09 and 6,391.41 is: 13,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.09 : 6,391.41 = 6,391.41 : x
  2. Step 2: Convert to fraction form
    2,964.09/6,391.41 = 6,391.41/x
  3. Step 3: Cross multiply
    2,964.09x = 6,391.41 × 6,391.41
  4. Step 4: Simplify right side
    2,964.09x = 40,850,073.85
  5. Step 5: Solve for x
    x = 40,850,073.85/2,964.09
  6. Step 6: Final answer
    x = 13,781.64

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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.