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Finding the Third Proportional to 8,074 and 16,538

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Solution

The third proportional to 8,074 and 16,538 is: 33,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074 : 16,538 = 16,538 : x
  2. Step 2: Convert to fraction form
    8,074/16,538 = 16,538/x
  3. Step 3: Cross multiply
    8,074x = 16,538 × 16,538
  4. Step 4: Simplify right side
    8,074x = 273,505,444
  5. Step 5: Solve for x
    x = 273,505,444/8,074
  6. Step 6: Final answer
    x = 33,874.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.