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Finding the Third Proportional to 5,880 and 13,092

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Solution

The third proportional to 5,880 and 13,092 is: 29,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880 : 13,092 = 13,092 : x
  2. Step 2: Convert to fraction form
    5,880/13,092 = 13,092/x
  3. Step 3: Cross multiply
    5,880x = 13,092 × 13,092
  4. Step 4: Simplify right side
    5,880x = 171,400,464
  5. Step 5: Solve for x
    x = 171,400,464/5,880
  6. Step 6: Final answer
    x = 29,149.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.