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Finding the Third Proportional to 11,334 and 17,593

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Solution

The third proportional to 11,334 and 17,593 is: 27,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334 : 17,593 = 17,593 : x
  2. Step 2: Convert to fraction form
    11,334/17,593 = 17,593/x
  3. Step 3: Cross multiply
    11,334x = 17,593 × 17,593
  4. Step 4: Simplify right side
    11,334x = 309,513,649
  5. Step 5: Solve for x
    x = 309,513,649/11,334
  6. Step 6: Final answer
    x = 27,308.42

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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.