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Finding the Third Proportional to 6,317 and 13,267

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Solution

The third proportional to 6,317 and 13,267 is: 27,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317 : 13,267 = 13,267 : x
  2. Step 2: Convert to fraction form
    6,317/13,267 = 13,267/x
  3. Step 3: Cross multiply
    6,317x = 13,267 × 13,267
  4. Step 4: Simplify right side
    6,317x = 176,013,289
  5. Step 5: Solve for x
    x = 176,013,289/6,317
  6. Step 6: Final answer
    x = 27,863.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.