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Finding the Third Proportional to 23,554 and 50,519

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Solution

The third proportional to 23,554 and 50,519 is: 108,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,554 : 50,519 = 50,519 : x
  2. Step 2: Convert to fraction form
    23,554/50,519 = 50,519/x
  3. Step 3: Cross multiply
    23,554x = 50,519 × 50,519
  4. Step 4: Simplify right side
    23,554x = 2,552,169,361
  5. Step 5: Solve for x
    x = 2,552,169,361/23,554
  6. Step 6: Final answer
    x = 108,353.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.