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Finding the Third Proportional to 36,618 and 54,801

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Solution

The third proportional to 36,618 and 54,801 is: 82,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,618 : 54,801 = 54,801 : x
  2. Step 2: Convert to fraction form
    36,618/54,801 = 54,801/x
  3. Step 3: Cross multiply
    36,618x = 54,801 × 54,801
  4. Step 4: Simplify right side
    36,618x = 3,003,149,601
  5. Step 5: Solve for x
    x = 3,003,149,601/36,618
  6. Step 6: Final answer
    x = 82,012.93

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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.