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Finding the Third Proportional to 10,831 and 17,232

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Solution

The third proportional to 10,831 and 17,232 is: 27,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831 : 17,232 = 17,232 : x
  2. Step 2: Convert to fraction form
    10,831/17,232 = 17,232/x
  3. Step 3: Cross multiply
    10,831x = 17,232 × 17,232
  4. Step 4: Simplify right side
    10,831x = 296,941,824
  5. Step 5: Solve for x
    x = 296,941,824/10,831
  6. Step 6: Final answer
    x = 27,415.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.