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Finding the Third Proportional to 11,481 and 17,561

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Solution

The third proportional to 11,481 and 17,561 is: 26,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481 : 17,561 = 17,561 : x
  2. Step 2: Convert to fraction form
    11,481/17,561 = 17,561/x
  3. Step 3: Cross multiply
    11,481x = 17,561 × 17,561
  4. Step 4: Simplify right side
    11,481x = 308,388,721
  5. Step 5: Solve for x
    x = 308,388,721/11,481
  6. Step 6: Final answer
    x = 26,860.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.