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Finding the Third Proportional to 16,884 and 36,741

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Solution

The third proportional to 16,884 and 36,741 is: 79,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884 : 36,741 = 36,741 : x
  2. Step 2: Convert to fraction form
    16,884/36,741 = 36,741/x
  3. Step 3: Cross multiply
    16,884x = 36,741 × 36,741
  4. Step 4: Simplify right side
    16,884x = 1,349,901,081
  5. Step 5: Solve for x
    x = 1,349,901,081/16,884
  6. Step 6: Final answer
    x = 79,951.50

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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.