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Finding the Third Proportional to 5,880 and 13,857

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Solution

The third proportional to 5,880 and 13,857 is: 32,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880 : 13,857 = 13,857 : x
  2. Step 2: Convert to fraction form
    5,880/13,857 = 13,857/x
  3. Step 3: Cross multiply
    5,880x = 13,857 × 13,857
  4. Step 4: Simplify right side
    5,880x = 192,016,449
  5. Step 5: Solve for x
    x = 192,016,449/5,880
  6. Step 6: Final answer
    x = 32,655.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.