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Finding the Third Proportional to 11,436 and 27,393

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Solution

The third proportional to 11,436 and 27,393 is: 65,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436 : 27,393 = 27,393 : x
  2. Step 2: Convert to fraction form
    11,436/27,393 = 27,393/x
  3. Step 3: Cross multiply
    11,436x = 27,393 × 27,393
  4. Step 4: Simplify right side
    11,436x = 750,376,449
  5. Step 5: Solve for x
    x = 750,376,449/11,436
  6. Step 6: Final answer
    x = 65,615.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.