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Finding the Third Proportional to 3,408.75 and 6,701.06

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Solution

The third proportional to 3,408.75 and 6,701.06 is: 13,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.75 : 6,701.06 = 6,701.06 : x
  2. Step 2: Convert to fraction form
    3,408.75/6,701.06 = 6,701.06/x
  3. Step 3: Cross multiply
    3,408.75x = 6,701.06 × 6,701.06
  4. Step 4: Simplify right side
    3,408.75x = 44,904,238.63
  5. Step 5: Solve for x
    x = 44,904,238.63/3,408.75
  6. Step 6: Final answer
    x = 13,173.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.