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Finding the Third Proportional to 11,588 and 27,344

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Solution

The third proportional to 11,588 and 27,344 is: 64,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588 : 27,344 = 27,344 : x
  2. Step 2: Convert to fraction form
    11,588/27,344 = 27,344/x
  3. Step 3: Cross multiply
    11,588x = 27,344 × 27,344
  4. Step 4: Simplify right side
    11,588x = 747,694,336
  5. Step 5: Solve for x
    x = 747,694,336/11,588
  6. Step 6: Final answer
    x = 64,523.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.