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Finding the Third Proportional to 3,013 and 6,467

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Solution

The third proportional to 3,013 and 6,467 is: 13,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013 : 6,467 = 6,467 : x
  2. Step 2: Convert to fraction form
    3,013/6,467 = 6,467/x
  3. Step 3: Cross multiply
    3,013x = 6,467 × 6,467
  4. Step 4: Simplify right side
    3,013x = 41,822,089
  5. Step 5: Solve for x
    x = 41,822,089/3,013
  6. Step 6: Final answer
    x = 13,880.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.