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Finding the Third Proportional to 11,573 and 24,867

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Solution

The third proportional to 11,573 and 24,867 is: 53,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573 : 24,867 = 24,867 : x
  2. Step 2: Convert to fraction form
    11,573/24,867 = 24,867/x
  3. Step 3: Cross multiply
    11,573x = 24,867 × 24,867
  4. Step 4: Simplify right side
    11,573x = 618,367,689
  5. Step 5: Solve for x
    x = 618,367,689/11,573
  6. Step 6: Final answer
    x = 53,431.93

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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.