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Finding the Third Proportional to 36,274 and 54,243

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Solution

The third proportional to 36,274 and 54,243 is: 81,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,274 : 54,243 = 54,243 : x
  2. Step 2: Convert to fraction form
    36,274/54,243 = 54,243/x
  3. Step 3: Cross multiply
    36,274x = 54,243 × 54,243
  4. Step 4: Simplify right side
    36,274x = 2,942,303,049
  5. Step 5: Solve for x
    x = 2,942,303,049/36,274
  6. Step 6: Final answer
    x = 81,113.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.