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Finding the Third Proportional to 12,414 and 27,058

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Solution

The third proportional to 12,414 and 27,058 is: 58,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414 : 27,058 = 27,058 : x
  2. Step 2: Convert to fraction form
    12,414/27,058 = 27,058/x
  3. Step 3: Cross multiply
    12,414x = 27,058 × 27,058
  4. Step 4: Simplify right side
    12,414x = 732,135,364
  5. Step 5: Solve for x
    x = 732,135,364/12,414
  6. Step 6: Final answer
    x = 58,976.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.