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Finding the Third Proportional to 11,704 and 25,200

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Solution

The third proportional to 11,704 and 25,200 is: 54,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704 : 25,200 = 25,200 : x
  2. Step 2: Convert to fraction form
    11,704/25,200 = 25,200/x
  3. Step 3: Cross multiply
    11,704x = 25,200 × 25,200
  4. Step 4: Simplify right side
    11,704x = 635,040,000
  5. Step 5: Solve for x
    x = 635,040,000/11,704
  6. Step 6: Final answer
    x = 54,258.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.