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Finding the Third Proportional to 36,728 and 55,436

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Solution

The third proportional to 36,728 and 55,436 is: 83,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,728 : 55,436 = 55,436 : x
  2. Step 2: Convert to fraction form
    36,728/55,436 = 55,436/x
  3. Step 3: Cross multiply
    36,728x = 55,436 × 55,436
  4. Step 4: Simplify right side
    36,728x = 3,073,150,096
  5. Step 5: Solve for x
    x = 3,073,150,096/36,728
  6. Step 6: Final answer
    x = 83,673.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.