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Finding the Third Proportional to 5,832 and 7,593

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Solution

The third proportional to 5,832 and 7,593 is: 9,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832 : 7,593 = 7,593 : x
  2. Step 2: Convert to fraction form
    5,832/7,593 = 7,593/x
  3. Step 3: Cross multiply
    5,832x = 7,593 × 7,593
  4. Step 4: Simplify right side
    5,832x = 57,653,649
  5. Step 5: Solve for x
    x = 57,653,649/5,832
  6. Step 6: Final answer
    x = 9,885.74

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.