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Finding the Third Proportional to 18,880 and 38,582

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Solution

The third proportional to 18,880 and 38,582 is: 78,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,880 : 38,582 = 38,582 : x
  2. Step 2: Convert to fraction form
    18,880/38,582 = 38,582/x
  3. Step 3: Cross multiply
    18,880x = 38,582 × 38,582
  4. Step 4: Simplify right side
    18,880x = 1,488,570,724
  5. Step 5: Solve for x
    x = 1,488,570,724/18,880
  6. Step 6: Final answer
    x = 78,843.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.