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Finding the Third Proportional to 16,960 and 27,232

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Solution

The third proportional to 16,960 and 27,232 is: 43,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,960 : 27,232 = 27,232 : x
  2. Step 2: Convert to fraction form
    16,960/27,232 = 27,232/x
  3. Step 3: Cross multiply
    16,960x = 27,232 × 27,232
  4. Step 4: Simplify right side
    16,960x = 741,581,824
  5. Step 5: Solve for x
    x = 741,581,824/16,960
  6. Step 6: Final answer
    x = 43,725.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.