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Finding the Third Proportional to 18,640 and 41,424

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Solution

The third proportional to 18,640 and 41,424 is: 92,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640 : 41,424 = 41,424 : x
  2. Step 2: Convert to fraction form
    18,640/41,424 = 41,424/x
  3. Step 3: Cross multiply
    18,640x = 41,424 × 41,424
  4. Step 4: Simplify right side
    18,640x = 1,715,947,776
  5. Step 5: Solve for x
    x = 1,715,947,776/18,640
  6. Step 6: Final answer
    x = 92,057.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.