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Finding the Third Proportional to 16,751 and 35,225

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Solution

The third proportional to 16,751 and 35,225 is: 74,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,751 : 35,225 = 35,225 : x
  2. Step 2: Convert to fraction form
    16,751/35,225 = 35,225/x
  3. Step 3: Cross multiply
    16,751x = 35,225 × 35,225
  4. Step 4: Simplify right side
    16,751x = 1,240,800,625
  5. Step 5: Solve for x
    x = 1,240,800,625/16,751
  6. Step 6: Final answer
    x = 74,073.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.