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Finding the Third Proportional to 11,392 and 27,272

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Solution

The third proportional to 11,392 and 27,272 is: 65,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392 : 27,272 = 27,272 : x
  2. Step 2: Convert to fraction form
    11,392/27,272 = 27,272/x
  3. Step 3: Cross multiply
    11,392x = 27,272 × 27,272
  4. Step 4: Simplify right side
    11,392x = 743,761,984
  5. Step 5: Solve for x
    x = 743,761,984/11,392
  6. Step 6: Final answer
    x = 65,288.10

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.