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Finding the Third Proportional to 23,252 and 50,248

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Solution

The third proportional to 23,252 and 50,248 is: 108,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,252 : 50,248 = 50,248 : x
  2. Step 2: Convert to fraction form
    23,252/50,248 = 50,248/x
  3. Step 3: Cross multiply
    23,252x = 50,248 × 50,248
  4. Step 4: Simplify right side
    23,252x = 2,524,861,504
  5. Step 5: Solve for x
    x = 2,524,861,504/23,252
  6. Step 6: Final answer
    x = 108,586.85

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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.