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Finding the Third Proportional to 16,834 and 35,443

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Solution

The third proportional to 16,834 and 35,443 is: 74,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834 : 35,443 = 35,443 : x
  2. Step 2: Convert to fraction form
    16,834/35,443 = 35,443/x
  3. Step 3: Cross multiply
    16,834x = 35,443 × 35,443
  4. Step 4: Simplify right side
    16,834x = 1,256,206,249
  5. Step 5: Solve for x
    x = 1,256,206,249/16,834
  6. Step 6: Final answer
    x = 74,623.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.