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Finding the Third Proportional to 16,018 and 34,406

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Solution

The third proportional to 16,018 and 34,406 is: 73,902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,018 : 34,406 = 34,406 : x
  2. Step 2: Convert to fraction form
    16,018/34,406 = 34,406/x
  3. Step 3: Cross multiply
    16,018x = 34,406 × 34,406
  4. Step 4: Simplify right side
    16,018x = 1,183,772,836
  5. Step 5: Solve for x
    x = 1,183,772,836/16,018
  6. Step 6: Final answer
    x = 73,902.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.