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Finding the Third Proportional to 3,121.73 and 6,687.70

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Solution

The third proportional to 3,121.73 and 6,687.70 is: 14,327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.73 : 6,687.70 = 6,687.70 : x
  2. Step 2: Convert to fraction form
    3,121.73/6,687.70 = 6,687.70/x
  3. Step 3: Cross multiply
    3,121.73x = 6,687.70 × 6,687.70
  4. Step 4: Simplify right side
    3,121.73x = 44,725,373.09
  5. Step 5: Solve for x
    x = 44,725,373.09/3,121.73
  6. Step 6: Final answer
    x = 14,327.09

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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.