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Finding the Third Proportional to 16,761 and 36,722

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Solution

The third proportional to 16,761 and 36,722 is: 80,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761 : 36,722 = 36,722 : x
  2. Step 2: Convert to fraction form
    16,761/36,722 = 36,722/x
  3. Step 3: Cross multiply
    16,761x = 36,722 × 36,722
  4. Step 4: Simplify right side
    16,761x = 1,348,505,284
  5. Step 5: Solve for x
    x = 1,348,505,284/16,761
  6. Step 6: Final answer
    x = 80,454.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.