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Finding the Third Proportional to 5,350 and 8,593

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Solution

The third proportional to 5,350 and 8,593 is: 13,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350 : 8,593 = 8,593 : x
  2. Step 2: Convert to fraction form
    5,350/8,593 = 8,593/x
  3. Step 3: Cross multiply
    5,350x = 8,593 × 8,593
  4. Step 4: Simplify right side
    5,350x = 73,839,649
  5. Step 5: Solve for x
    x = 73,839,649/5,350
  6. Step 6: Final answer
    x = 13,801.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.