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Finding the Third Proportional to 17,764 and 36,138

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Solution

The third proportional to 17,764 and 36,138 is: 73,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764 : 36,138 = 36,138 : x
  2. Step 2: Convert to fraction form
    17,764/36,138 = 36,138/x
  3. Step 3: Cross multiply
    17,764x = 36,138 × 36,138
  4. Step 4: Simplify right side
    17,764x = 1,305,955,044
  5. Step 5: Solve for x
    x = 1,305,955,044/17,764
  6. Step 6: Final answer
    x = 73,516.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.