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Finding the Third Proportional to 17,538 and 36,108

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Solution

The third proportional to 17,538 and 36,108 is: 74,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538 : 36,108 = 36,108 : x
  2. Step 2: Convert to fraction form
    17,538/36,108 = 36,108/x
  3. Step 3: Cross multiply
    17,538x = 36,108 × 36,108
  4. Step 4: Simplify right side
    17,538x = 1,303,787,664
  5. Step 5: Solve for x
    x = 1,303,787,664/17,538
  6. Step 6: Final answer
    x = 74,340.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.