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Finding the Third Proportional to 11,307 and 17,529

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Solution

The third proportional to 11,307 and 17,529 is: 27,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307 : 17,529 = 17,529 : x
  2. Step 2: Convert to fraction form
    11,307/17,529 = 17,529/x
  3. Step 3: Cross multiply
    11,307x = 17,529 × 17,529
  4. Step 4: Simplify right side
    11,307x = 307,265,841
  5. Step 5: Solve for x
    x = 307,265,841/11,307
  6. Step 6: Final answer
    x = 27,174.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.