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Finding the Third Proportional to 3,204.14 and 6,863.91

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Solution

The third proportional to 3,204.14 and 6,863.91 is: 14,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.14 : 6,863.91 = 6,863.91 : x
  2. Step 2: Convert to fraction form
    3,204.14/6,863.91 = 6,863.91/x
  3. Step 3: Cross multiply
    3,204.14x = 6,863.91 × 6,863.91
  4. Step 4: Simplify right side
    3,204.14x = 47,113,209.01
  5. Step 5: Solve for x
    x = 47,113,209.01/3,204.14
  6. Step 6: Final answer
    x = 14,703.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.