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Finding the Third Proportional to 16,751 and 35,446

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Solution

The third proportional to 16,751 and 35,446 is: 75,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,751 : 35,446 = 35,446 : x
  2. Step 2: Convert to fraction form
    16,751/35,446 = 35,446/x
  3. Step 3: Cross multiply
    16,751x = 35,446 × 35,446
  4. Step 4: Simplify right side
    16,751x = 1,256,418,916
  5. Step 5: Solve for x
    x = 1,256,418,916/16,751
  6. Step 6: Final answer
    x = 75,005.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.