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Finding the Third Proportional to 13,831 and 21,272

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Solution

The third proportional to 13,831 and 21,272 is: 32,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831 : 21,272 = 21,272 : x
  2. Step 2: Convert to fraction form
    13,831/21,272 = 21,272/x
  3. Step 3: Cross multiply
    13,831x = 21,272 × 21,272
  4. Step 4: Simplify right side
    13,831x = 452,497,984
  5. Step 5: Solve for x
    x = 452,497,984/13,831
  6. Step 6: Final answer
    x = 32,716.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.