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Finding the Third Proportional to 16,834 and 26,891

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Solution

The third proportional to 16,834 and 26,891 is: 42,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834 : 26,891 = 26,891 : x
  2. Step 2: Convert to fraction form
    16,834/26,891 = 26,891/x
  3. Step 3: Cross multiply
    16,834x = 26,891 × 26,891
  4. Step 4: Simplify right side
    16,834x = 723,125,881
  5. Step 5: Solve for x
    x = 723,125,881/16,834
  6. Step 6: Final answer
    x = 42,956.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.