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Finding the Third Proportional to 23,519 and 50,317

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Solution

The third proportional to 23,519 and 50,317 is: 107,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,519 : 50,317 = 50,317 : x
  2. Step 2: Convert to fraction form
    23,519/50,317 = 50,317/x
  3. Step 3: Cross multiply
    23,519x = 50,317 × 50,317
  4. Step 4: Simplify right side
    23,519x = 2,531,800,489
  5. Step 5: Solve for x
    x = 2,531,800,489/23,519
  6. Step 6: Final answer
    x = 107,649.16

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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.