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Finding the Third Proportional to 6,349 and 13,609

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Solution

The third proportional to 6,349 and 13,609 is: 29,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349 : 13,609 = 13,609 : x
  2. Step 2: Convert to fraction form
    6,349/13,609 = 13,609/x
  3. Step 3: Cross multiply
    6,349x = 13,609 × 13,609
  4. Step 4: Simplify right side
    6,349x = 185,204,881
  5. Step 5: Solve for x
    x = 185,204,881/6,349
  6. Step 6: Final answer
    x = 29,170.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.