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Finding the Third Proportional to 16,001 and 34,891

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Solution

The third proportional to 16,001 and 34,891 is: 76,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001 : 34,891 = 34,891 : x
  2. Step 2: Convert to fraction form
    16,001/34,891 = 34,891/x
  3. Step 3: Cross multiply
    16,001x = 34,891 × 34,891
  4. Step 4: Simplify right side
    16,001x = 1,217,381,881
  5. Step 5: Solve for x
    x = 1,217,381,881/16,001
  6. Step 6: Final answer
    x = 76,081.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.