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Finding the Third Proportional to 11,221 and 17,603

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Solution

The third proportional to 11,221 and 17,603 is: 27,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221 : 17,603 = 17,603 : x
  2. Step 2: Convert to fraction form
    11,221/17,603 = 17,603/x
  3. Step 3: Cross multiply
    11,221x = 17,603 × 17,603
  4. Step 4: Simplify right side
    11,221x = 309,865,609
  5. Step 5: Solve for x
    x = 309,865,609/11,221
  6. Step 6: Final answer
    x = 27,614.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.