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Finding the Third Proportional to 16,110 and 35,489

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Solution

The third proportional to 16,110 and 35,489 is: 78,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,110 : 35,489 = 35,489 : x
  2. Step 2: Convert to fraction form
    16,110/35,489 = 35,489/x
  3. Step 3: Cross multiply
    16,110x = 35,489 × 35,489
  4. Step 4: Simplify right side
    16,110x = 1,259,469,121
  5. Step 5: Solve for x
    x = 1,259,469,121/16,110
  6. Step 6: Final answer
    x = 78,179.34

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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.