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Finding the Third Proportional to 3,175.50 and 6,351

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Solution

The third proportional to 3,175.50 and 6,351 is: 12,702

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.50 : 6,351 = 6,351 : x
  2. Step 2: Convert to fraction form
    3,175.50/6,351 = 6,351/x
  3. Step 3: Cross multiply
    3,175.50x = 6,351 × 6,351
  4. Step 4: Simplify right side
    3,175.50x = 40,335,201
  5. Step 5: Solve for x
    x = 40,335,201/3,175.50
  6. Step 6: Final answer
    x = 12,702

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.