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Finding the Third Proportional to 23,626 and 47,936

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Solution

The third proportional to 23,626 and 47,936 is: 97,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,626 : 47,936 = 47,936 : x
  2. Step 2: Convert to fraction form
    23,626/47,936 = 47,936/x
  3. Step 3: Cross multiply
    23,626x = 47,936 × 47,936
  4. Step 4: Simplify right side
    23,626x = 2,297,860,096
  5. Step 5: Solve for x
    x = 2,297,860,096/23,626
  6. Step 6: Final answer
    x = 97,259.80

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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.