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Finding the Third Proportional to 11,796 and 16,023

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Solution

The third proportional to 11,796 and 16,023 is: 21,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796 : 16,023 = 16,023 : x
  2. Step 2: Convert to fraction form
    11,796/16,023 = 16,023/x
  3. Step 3: Cross multiply
    11,796x = 16,023 × 16,023
  4. Step 4: Simplify right side
    11,796x = 256,736,529
  5. Step 5: Solve for x
    x = 256,736,529/11,796
  6. Step 6: Final answer
    x = 21,764.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.