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Finding the Third Proportional to 12,874 and 27,206

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Solution

The third proportional to 12,874 and 27,206 is: 57,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874 : 27,206 = 27,206 : x
  2. Step 2: Convert to fraction form
    12,874/27,206 = 27,206/x
  3. Step 3: Cross multiply
    12,874x = 27,206 × 27,206
  4. Step 4: Simplify right side
    12,874x = 740,166,436
  5. Step 5: Solve for x
    x = 740,166,436/12,874
  6. Step 6: Final answer
    x = 57,493.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.