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Finding the Third Proportional to 16,933 and 38,944

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Solution

The third proportional to 16,933 and 38,944 is: 89,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,933 : 38,944 = 38,944 : x
  2. Step 2: Convert to fraction form
    16,933/38,944 = 38,944/x
  3. Step 3: Cross multiply
    16,933x = 38,944 × 38,944
  4. Step 4: Simplify right side
    16,933x = 1,516,635,136
  5. Step 5: Solve for x
    x = 1,516,635,136/16,933
  6. Step 6: Final answer
    x = 89,566.83

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.