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Finding the Third Proportional to 16,170 and 35,601

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Solution

The third proportional to 16,170 and 35,601 is: 78,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170 : 35,601 = 35,601 : x
  2. Step 2: Convert to fraction form
    16,170/35,601 = 35,601/x
  3. Step 3: Cross multiply
    16,170x = 35,601 × 35,601
  4. Step 4: Simplify right side
    16,170x = 1,267,431,201
  5. Step 5: Solve for x
    x = 1,267,431,201/16,170
  6. Step 6: Final answer
    x = 78,381.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.