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Finding the Third Proportional to 36,963 and 81,306

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Solution

The third proportional to 36,963 and 81,306 is: 178,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,963 : 81,306 = 81,306 : x
  2. Step 2: Convert to fraction form
    36,963/81,306 = 81,306/x
  3. Step 3: Cross multiply
    36,963x = 81,306 × 81,306
  4. Step 4: Simplify right side
    36,963x = 6,610,665,636
  5. Step 5: Solve for x
    x = 6,610,665,636/36,963
  6. Step 6: Final answer
    x = 178,845.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.