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Finding the Third Proportional to 23,573 and 50,837

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Solution

The third proportional to 23,573 and 50,837 is: 109,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573 : 50,837 = 50,837 : x
  2. Step 2: Convert to fraction form
    23,573/50,837 = 50,837/x
  3. Step 3: Cross multiply
    23,573x = 50,837 × 50,837
  4. Step 4: Simplify right side
    23,573x = 2,584,400,569
  5. Step 5: Solve for x
    x = 2,584,400,569/23,573
  6. Step 6: Final answer
    x = 109,633.93

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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.