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Finding the Third Proportional to 6,329 and 13,293

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Solution

The third proportional to 6,329 and 13,293 is: 27,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329 : 13,293 = 13,293 : x
  2. Step 2: Convert to fraction form
    6,329/13,293 = 13,293/x
  3. Step 3: Cross multiply
    6,329x = 13,293 × 13,293
  4. Step 4: Simplify right side
    6,329x = 176,703,849
  5. Step 5: Solve for x
    x = 176,703,849/6,329
  6. Step 6: Final answer
    x = 27,919.71

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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.