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Finding the Third Proportional to 3,286.88 and 6,727.13

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Solution

The third proportional to 3,286.88 and 6,727.13 is: 13,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.88 : 6,727.13 = 6,727.13 : x
  2. Step 2: Convert to fraction form
    3,286.88/6,727.13 = 6,727.13/x
  3. Step 3: Cross multiply
    3,286.88x = 6,727.13 × 6,727.13
  4. Step 4: Simplify right side
    3,286.88x = 45,254,210.77
  5. Step 5: Solve for x
    x = 45,254,210.77/3,286.88
  6. Step 6: Final answer
    x = 13,768.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.