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Finding the Third Proportional to 12,824 and 27,285

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Solution

The third proportional to 12,824 and 27,285 is: 58,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824 : 27,285 = 27,285 : x
  2. Step 2: Convert to fraction form
    12,824/27,285 = 27,285/x
  3. Step 3: Cross multiply
    12,824x = 27,285 × 27,285
  4. Step 4: Simplify right side
    12,824x = 744,471,225
  5. Step 5: Solve for x
    x = 744,471,225/12,824
  6. Step 6: Final answer
    x = 58,052.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.