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Finding the Third Proportional to 24,019 and 49,225

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Solution

The third proportional to 24,019 and 49,225 is: 100,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019 : 49,225 = 49,225 : x
  2. Step 2: Convert to fraction form
    24,019/49,225 = 49,225/x
  3. Step 3: Cross multiply
    24,019x = 49,225 × 49,225
  4. Step 4: Simplify right side
    24,019x = 2,423,100,625
  5. Step 5: Solve for x
    x = 2,423,100,625/24,019
  6. Step 6: Final answer
    x = 100,882.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.