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Finding the Third Proportional to 36,212 and 54,094

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Solution

The third proportional to 36,212 and 54,094 is: 80,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,212 : 54,094 = 54,094 : x
  2. Step 2: Convert to fraction form
    36,212/54,094 = 54,094/x
  3. Step 3: Cross multiply
    36,212x = 54,094 × 54,094
  4. Step 4: Simplify right side
    36,212x = 2,926,160,836
  5. Step 5: Solve for x
    x = 2,926,160,836/36,212
  6. Step 6: Final answer
    x = 80,806.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.