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Finding the Third Proportional to 16,866 and 36,769

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Solution

The third proportional to 16,866 and 36,769 is: 80,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,866 : 36,769 = 36,769 : x
  2. Step 2: Convert to fraction form
    16,866/36,769 = 36,769/x
  3. Step 3: Cross multiply
    16,866x = 36,769 × 36,769
  4. Step 4: Simplify right side
    16,866x = 1,351,959,361
  5. Step 5: Solve for x
    x = 1,351,959,361/16,866
  6. Step 6: Final answer
    x = 80,158.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.