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Finding the Third Proportional to 36,830 and 81,821

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Solution

The third proportional to 36,830 and 81,821 is: 181,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,830 : 81,821 = 81,821 : x
  2. Step 2: Convert to fraction form
    36,830/81,821 = 81,821/x
  3. Step 3: Cross multiply
    36,830x = 81,821 × 81,821
  4. Step 4: Simplify right side
    36,830x = 6,694,676,041
  5. Step 5: Solve for x
    x = 6,694,676,041/36,830
  6. Step 6: Final answer
    x = 181,772.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.