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Finding the Third Proportional to 11,591 and 24,934

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Solution

The third proportional to 11,591 and 24,934 is: 53,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591 : 24,934 = 24,934 : x
  2. Step 2: Convert to fraction form
    11,591/24,934 = 24,934/x
  3. Step 3: Cross multiply
    11,591x = 24,934 × 24,934
  4. Step 4: Simplify right side
    11,591x = 621,704,356
  5. Step 5: Solve for x
    x = 621,704,356/11,591
  6. Step 6: Final answer
    x = 53,636.82

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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.