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Finding the Third Proportional to 3,322.90 and 6,740.09

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Solution

The third proportional to 3,322.90 and 6,740.09 is: 13,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.90 : 6,740.09 = 6,740.09 : x
  2. Step 2: Convert to fraction form
    3,322.90/6,740.09 = 6,740.09/x
  3. Step 3: Cross multiply
    3,322.90x = 6,740.09 × 6,740.09
  4. Step 4: Simplify right side
    3,322.90x = 45,428,758.44
  5. Step 5: Solve for x
    x = 45,428,758.44/3,322.90
  6. Step 6: Final answer
    x = 13,671.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.