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Finding the Third Proportional to 39,467 and 82,582

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Solution

The third proportional to 39,467 and 82,582 is: 172,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,467 : 82,582 = 82,582 : x
  2. Step 2: Convert to fraction form
    39,467/82,582 = 82,582/x
  3. Step 3: Cross multiply
    39,467x = 82,582 × 82,582
  4. Step 4: Simplify right side
    39,467x = 6,819,786,724
  5. Step 5: Solve for x
    x = 6,819,786,724/39,467
  6. Step 6: Final answer
    x = 172,797.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.