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Finding the Third Proportional to 8,519 and 18,628

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Solution

The third proportional to 8,519 and 18,628 is: 40,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519 : 18,628 = 18,628 : x
  2. Step 2: Convert to fraction form
    8,519/18,628 = 18,628/x
  3. Step 3: Cross multiply
    8,519x = 18,628 × 18,628
  4. Step 4: Simplify right side
    8,519x = 347,002,384
  5. Step 5: Solve for x
    x = 347,002,384/8,519
  6. Step 6: Final answer
    x = 40,732.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.