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Finding the Third Proportional to 36,966 and 54,477

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Solution

The third proportional to 36,966 and 54,477 is: 80,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,966 : 54,477 = 54,477 : x
  2. Step 2: Convert to fraction form
    36,966/54,477 = 54,477/x
  3. Step 3: Cross multiply
    36,966x = 54,477 × 54,477
  4. Step 4: Simplify right side
    36,966x = 2,967,743,529
  5. Step 5: Solve for x
    x = 2,967,743,529/36,966
  6. Step 6: Final answer
    x = 80,283.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.