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Finding the Third Proportional to 11,880 and 27,500

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Solution

The third proportional to 11,880 and 27,500 is: 63,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880 : 27,500 = 27,500 : x
  2. Step 2: Convert to fraction form
    11,880/27,500 = 27,500/x
  3. Step 3: Cross multiply
    11,880x = 27,500 × 27,500
  4. Step 4: Simplify right side
    11,880x = 756,250,000
  5. Step 5: Solve for x
    x = 756,250,000/11,880
  6. Step 6: Final answer
    x = 63,657.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.