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Finding the Third Proportional to 24,408.84 and 49,496.06

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Solution

The third proportional to 24,408.84 and 49,496.06 is: 100,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.84 : 49,496.06 = 49,496.06 : x
  2. Step 2: Convert to fraction form
    24,408.84/49,496.06 = 49,496.06/x
  3. Step 3: Cross multiply
    24,408.84x = 49,496.06 × 49,496.06
  4. Step 4: Simplify right side
    24,408.84x = 2,449,860,203.00
  5. Step 5: Solve for x
    x = 2,449,860,203.00/24,408.84
  6. Step 6: Final answer
    x = 100,367.73

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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.