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Finding the Third Proportional to 13,006 and 27,561

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Solution

The third proportional to 13,006 and 27,561 is: 58,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006 : 27,561 = 27,561 : x
  2. Step 2: Convert to fraction form
    13,006/27,561 = 27,561/x
  3. Step 3: Cross multiply
    13,006x = 27,561 × 27,561
  4. Step 4: Simplify right side
    13,006x = 759,608,721
  5. Step 5: Solve for x
    x = 759,608,721/13,006
  6. Step 6: Final answer
    x = 58,404.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.