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Finding the Third Proportional to 3,314.25 and 6,739.88

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Solution

The third proportional to 3,314.25 and 6,739.88 is: 13,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.25 : 6,739.88 = 6,739.88 : x
  2. Step 2: Convert to fraction form
    3,314.25/6,739.88 = 6,739.88/x
  3. Step 3: Cross multiply
    3,314.25x = 6,739.88 × 6,739.88
  4. Step 4: Simplify right side
    3,314.25x = 45,425,915.02
  5. Step 5: Solve for x
    x = 45,425,915.02/3,314.25
  6. Step 6: Final answer
    x = 13,706.24

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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.