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Finding the Third Proportional to 13,583 and 20,519

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Solution

The third proportional to 13,583 and 20,519 is: 30,996.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583 : 20,519 = 20,519 : x
  2. Step 2: Convert to fraction form
    13,583/20,519 = 20,519/x
  3. Step 3: Cross multiply
    13,583x = 20,519 × 20,519
  4. Step 4: Simplify right side
    13,583x = 421,029,361
  5. Step 5: Solve for x
    x = 421,029,361/13,583
  6. Step 6: Final answer
    x = 30,996.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.