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Finding the Third Proportional to 8,576 and 17,926

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Solution

The third proportional to 8,576 and 17,926 is: 37,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 17,926 = 17,926 : x
  2. Step 2: Convert to fraction form
    8,576/17,926 = 17,926/x
  3. Step 3: Cross multiply
    8,576x = 17,926 × 17,926
  4. Step 4: Simplify right side
    8,576x = 321,341,476
  5. Step 5: Solve for x
    x = 321,341,476/8,576
  6. Step 6: Final answer
    x = 37,469.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.