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Finding the Third Proportional to 23,446 and 50,591

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Solution

The third proportional to 23,446 and 50,591 is: 109,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446 : 50,591 = 50,591 : x
  2. Step 2: Convert to fraction form
    23,446/50,591 = 50,591/x
  3. Step 3: Cross multiply
    23,446x = 50,591 × 50,591
  4. Step 4: Simplify right side
    23,446x = 2,559,449,281
  5. Step 5: Solve for x
    x = 2,559,449,281/23,446
  6. Step 6: Final answer
    x = 109,163.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.