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Finding the Third Proportional to 5,832 and 12,592

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Solution

The third proportional to 5,832 and 12,592 is: 27,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832 : 12,592 = 12,592 : x
  2. Step 2: Convert to fraction form
    5,832/12,592 = 12,592/x
  3. Step 3: Cross multiply
    5,832x = 12,592 × 12,592
  4. Step 4: Simplify right side
    5,832x = 158,558,464
  5. Step 5: Solve for x
    x = 158,558,464/5,832
  6. Step 6: Final answer
    x = 27,187.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.