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Finding the Third Proportional to 24,198 and 50,446

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Solution

The third proportional to 24,198 and 50,446 is: 105,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198 : 50,446 = 50,446 : x
  2. Step 2: Convert to fraction form
    24,198/50,446 = 50,446/x
  3. Step 3: Cross multiply
    24,198x = 50,446 × 50,446
  4. Step 4: Simplify right side
    24,198x = 2,544,798,916
  5. Step 5: Solve for x
    x = 2,544,798,916/24,198
  6. Step 6: Final answer
    x = 105,165.67

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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.