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Finding the Third Proportional to 11,534 and 16,891

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Solution

The third proportional to 11,534 and 16,891 is: 24,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534 : 16,891 = 16,891 : x
  2. Step 2: Convert to fraction form
    11,534/16,891 = 16,891/x
  3. Step 3: Cross multiply
    11,534x = 16,891 × 16,891
  4. Step 4: Simplify right side
    11,534x = 285,305,881
  5. Step 5: Solve for x
    x = 285,305,881/11,534
  6. Step 6: Final answer
    x = 24,736.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.