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Finding the Third Proportional to 23,517 and 48,951

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Solution

The third proportional to 23,517 and 48,951 is: 101,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517 : 48,951 = 48,951 : x
  2. Step 2: Convert to fraction form
    23,517/48,951 = 48,951/x
  3. Step 3: Cross multiply
    23,517x = 48,951 × 48,951
  4. Step 4: Simplify right side
    23,517x = 2,396,200,401
  5. Step 5: Solve for x
    x = 2,396,200,401/23,517
  6. Step 6: Final answer
    x = 101,892.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.