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Finding the Third Proportional to 19,408 and 41,936

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Solution

The third proportional to 19,408 and 41,936 is: 90,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 41,936 = 41,936 : x
  2. Step 2: Convert to fraction form
    19,408/41,936 = 41,936/x
  3. Step 3: Cross multiply
    19,408x = 41,936 × 41,936
  4. Step 4: Simplify right side
    19,408x = 1,758,628,096
  5. Step 5: Solve for x
    x = 1,758,628,096/19,408
  6. Step 6: Final answer
    x = 90,613.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.