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Finding the Third Proportional to 36,482 and 54,930

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Solution

The third proportional to 36,482 and 54,930 is: 82,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,482 : 54,930 = 54,930 : x
  2. Step 2: Convert to fraction form
    36,482/54,930 = 54,930/x
  3. Step 3: Cross multiply
    36,482x = 54,930 × 54,930
  4. Step 4: Simplify right side
    36,482x = 3,017,304,900
  5. Step 5: Solve for x
    x = 3,017,304,900/36,482
  6. Step 6: Final answer
    x = 82,706.67

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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.