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Finding the Third Proportional to 11,524 and 24,800

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Solution

The third proportional to 11,524 and 24,800 is: 53,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524 : 24,800 = 24,800 : x
  2. Step 2: Convert to fraction form
    11,524/24,800 = 24,800/x
  3. Step 3: Cross multiply
    11,524x = 24,800 × 24,800
  4. Step 4: Simplify right side
    11,524x = 615,040,000
  5. Step 5: Solve for x
    x = 615,040,000/11,524
  6. Step 6: Final answer
    x = 53,370.36

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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.