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Finding the Third Proportional to 12,967 and 27,662

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Solution

The third proportional to 12,967 and 27,662 is: 59,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967 : 27,662 = 27,662 : x
  2. Step 2: Convert to fraction form
    12,967/27,662 = 27,662/x
  3. Step 3: Cross multiply
    12,967x = 27,662 × 27,662
  4. Step 4: Simplify right side
    12,967x = 765,186,244
  5. Step 5: Solve for x
    x = 765,186,244/12,967
  6. Step 6: Final answer
    x = 59,010.28

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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.