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Finding the Third Proportional to 8,874 and 13,529

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Solution

The third proportional to 8,874 and 13,529 is: 20,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874 : 13,529 = 13,529 : x
  2. Step 2: Convert to fraction form
    8,874/13,529 = 13,529/x
  3. Step 3: Cross multiply
    8,874x = 13,529 × 13,529
  4. Step 4: Simplify right side
    8,874x = 183,033,841
  5. Step 5: Solve for x
    x = 183,033,841/8,874
  6. Step 6: Final answer
    x = 20,625.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.