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Finding the Third Proportional to 23,019 and 48,799

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Solution

The third proportional to 23,019 and 48,799 is: 103,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019 : 48,799 = 48,799 : x
  2. Step 2: Convert to fraction form
    23,019/48,799 = 48,799/x
  3. Step 3: Cross multiply
    23,019x = 48,799 × 48,799
  4. Step 4: Simplify right side
    23,019x = 2,381,342,401
  5. Step 5: Solve for x
    x = 2,381,342,401/23,019
  6. Step 6: Final answer
    x = 103,451.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.