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Finding the Third Proportional to 39,176 and 82,384

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Solution

The third proportional to 39,176 and 82,384 is: 173,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,176 : 82,384 = 82,384 : x
  2. Step 2: Convert to fraction form
    39,176/82,384 = 82,384/x
  3. Step 3: Cross multiply
    39,176x = 82,384 × 82,384
  4. Step 4: Simplify right side
    39,176x = 6,787,123,456
  5. Step 5: Solve for x
    x = 6,787,123,456/39,176
  6. Step 6: Final answer
    x = 173,246.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.