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Finding the Third Proportional to 16,900 and 18,412

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Solution

The third proportional to 16,900 and 18,412 is: 20,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900 : 18,412 = 18,412 : x
  2. Step 2: Convert to fraction form
    16,900/18,412 = 18,412/x
  3. Step 3: Cross multiply
    16,900x = 18,412 × 18,412
  4. Step 4: Simplify right side
    16,900x = 339,001,744
  5. Step 5: Solve for x
    x = 339,001,744/16,900
  6. Step 6: Final answer
    x = 20,059.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.