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Finding the Third Proportional to 12,896 and 27,478

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Solution

The third proportional to 12,896 and 27,478 is: 58,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896 : 27,478 = 27,478 : x
  2. Step 2: Convert to fraction form
    12,896/27,478 = 27,478/x
  3. Step 3: Cross multiply
    12,896x = 27,478 × 27,478
  4. Step 4: Simplify right side
    12,896x = 755,040,484
  5. Step 5: Solve for x
    x = 755,040,484/12,896
  6. Step 6: Final answer
    x = 58,548.42

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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.