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Finding the Third Proportional to 16,204 and 26,898

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Solution

The third proportional to 16,204 and 26,898 is: 44,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204 : 26,898 = 26,898 : x
  2. Step 2: Convert to fraction form
    16,204/26,898 = 26,898/x
  3. Step 3: Cross multiply
    16,204x = 26,898 × 26,898
  4. Step 4: Simplify right side
    16,204x = 723,502,404
  5. Step 5: Solve for x
    x = 723,502,404/16,204
  6. Step 6: Final answer
    x = 44,649.62

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.