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Finding the Third Proportional to 24,162 and 49,006

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Solution

The third proportional to 24,162 and 49,006 is: 99,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162 : 49,006 = 49,006 : x
  2. Step 2: Convert to fraction form
    24,162/49,006 = 49,006/x
  3. Step 3: Cross multiply
    24,162x = 49,006 × 49,006
  4. Step 4: Simplify right side
    24,162x = 2,401,588,036
  5. Step 5: Solve for x
    x = 2,401,588,036/24,162
  6. Step 6: Final answer
    x = 99,395.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.