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Finding the Third Proportional to 11,896 and 16,484

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Solution

The third proportional to 11,896 and 16,484 is: 22,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896 : 16,484 = 16,484 : x
  2. Step 2: Convert to fraction form
    11,896/16,484 = 16,484/x
  3. Step 3: Cross multiply
    11,896x = 16,484 × 16,484
  4. Step 4: Simplify right side
    11,896x = 271,722,256
  5. Step 5: Solve for x
    x = 271,722,256/11,896
  6. Step 6: Final answer
    x = 22,841.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.