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Finding the Third Proportional to 24,024 and 49,234

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Solution

The third proportional to 24,024 and 49,234 is: 100,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,024 : 49,234 = 49,234 : x
  2. Step 2: Convert to fraction form
    24,024/49,234 = 49,234/x
  3. Step 3: Cross multiply
    24,024x = 49,234 × 49,234
  4. Step 4: Simplify right side
    24,024x = 2,423,986,756
  5. Step 5: Solve for x
    x = 2,423,986,756/24,024
  6. Step 6: Final answer
    x = 100,898.55

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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.