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Finding the Third Proportional to 6,829.03 and 13,908.66

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Solution

The third proportional to 6,829.03 and 13,908.66 is: 28,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.03 : 13,908.66 = 13,908.66 : x
  2. Step 2: Convert to fraction form
    6,829.03/13,908.66 = 13,908.66/x
  3. Step 3: Cross multiply
    6,829.03x = 13,908.66 × 13,908.66
  4. Step 4: Simplify right side
    6,829.03x = 193,450,718.68
  5. Step 5: Solve for x
    x = 193,450,718.68/6,829.03
  6. Step 6: Final answer
    x = 28,327.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.