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Finding the Third Proportional to 24,208 and 48,992

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Solution

The third proportional to 24,208 and 48,992 is: 99,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208 : 48,992 = 48,992 : x
  2. Step 2: Convert to fraction form
    24,208/48,992 = 48,992/x
  3. Step 3: Cross multiply
    24,208x = 48,992 × 48,992
  4. Step 4: Simplify right side
    24,208x = 2,400,216,064
  5. Step 5: Solve for x
    x = 2,400,216,064/24,208
  6. Step 6: Final answer
    x = 99,149.71

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.