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Finding the Third Proportional to 11,896 and 18,656

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Solution

The third proportional to 11,896 and 18,656 is: 29,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896 : 18,656 = 18,656 : x
  2. Step 2: Convert to fraction form
    11,896/18,656 = 18,656/x
  3. Step 3: Cross multiply
    11,896x = 18,656 × 18,656
  4. Step 4: Simplify right side
    11,896x = 348,046,336
  5. Step 5: Solve for x
    x = 348,046,336/11,896
  6. Step 6: Final answer
    x = 29,257.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.