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Finding the Third Proportional to 38,640 and 82,384

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Solution

The third proportional to 38,640 and 82,384 is: 175,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,640 : 82,384 = 82,384 : x
  2. Step 2: Convert to fraction form
    38,640/82,384 = 82,384/x
  3. Step 3: Cross multiply
    38,640x = 82,384 × 82,384
  4. Step 4: Simplify right side
    38,640x = 6,787,123,456
  5. Step 5: Solve for x
    x = 6,787,123,456/38,640
  6. Step 6: Final answer
    x = 175,650.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.