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Finding the Third Proportional to 11,325 and 24,375

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Solution

The third proportional to 11,325 and 24,375 is: 52,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,325 : 24,375 = 24,375 : x
  2. Step 2: Convert to fraction form
    11,325/24,375 = 24,375/x
  3. Step 3: Cross multiply
    11,325x = 24,375 × 24,375
  4. Step 4: Simplify right side
    11,325x = 594,140,625
  5. Step 5: Solve for x
    x = 594,140,625/11,325
  6. Step 6: Final answer
    x = 52,462.75

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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.