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Finding the Third Proportional to 37,920 and 79,936

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Solution

The third proportional to 37,920 and 79,936 is: 168,506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,920 : 79,936 = 79,936 : x
  2. Step 2: Convert to fraction form
    37,920/79,936 = 79,936/x
  3. Step 3: Cross multiply
    37,920x = 79,936 × 79,936
  4. Step 4: Simplify right side
    37,920x = 6,389,764,096
  5. Step 5: Solve for x
    x = 6,389,764,096/37,920
  6. Step 6: Final answer
    x = 168,506.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.