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Finding the Third Proportional to 11,696 and 16,408

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Solution

The third proportional to 11,696 and 16,408 is: 23,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696 : 16,408 = 16,408 : x
  2. Step 2: Convert to fraction form
    11,696/16,408 = 16,408/x
  3. Step 3: Cross multiply
    11,696x = 16,408 × 16,408
  4. Step 4: Simplify right side
    11,696x = 269,222,464
  5. Step 5: Solve for x
    x = 269,222,464/11,696
  6. Step 6: Final answer
    x = 23,018.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.