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Finding the Third Proportional to 3,407.06 and 6,839.44

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Solution

The third proportional to 3,407.06 and 6,839.44 is: 13,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.06 : 6,839.44 = 6,839.44 : x
  2. Step 2: Convert to fraction form
    3,407.06/6,839.44 = 6,839.44/x
  3. Step 3: Cross multiply
    3,407.06x = 6,839.44 × 6,839.44
  4. Step 4: Simplify right side
    3,407.06x = 46,777,905.32
  5. Step 5: Solve for x
    x = 46,777,905.32/3,407.06
  6. Step 6: Final answer
    x = 13,729.69

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.