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Finding the Third Proportional to 16,861 and 35,018

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Solution

The third proportional to 16,861 and 35,018 is: 72,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861 : 35,018 = 35,018 : x
  2. Step 2: Convert to fraction form
    16,861/35,018 = 35,018/x
  3. Step 3: Cross multiply
    16,861x = 35,018 × 35,018
  4. Step 4: Simplify right side
    16,861x = 1,226,260,324
  5. Step 5: Solve for x
    x = 1,226,260,324/16,861
  6. Step 6: Final answer
    x = 72,727.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.