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Finding the Third Proportional to 5,619 and 8,599

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Solution

The third proportional to 5,619 and 8,599 is: 13,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619 : 8,599 = 8,599 : x
  2. Step 2: Convert to fraction form
    5,619/8,599 = 8,599/x
  3. Step 3: Cross multiply
    5,619x = 8,599 × 8,599
  4. Step 4: Simplify right side
    5,619x = 73,942,801
  5. Step 5: Solve for x
    x = 73,942,801/5,619
  6. Step 6: Final answer
    x = 13,159.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.