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Finding the Third Proportional to 18,896 and 41,384

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Solution

The third proportional to 18,896 and 41,384 is: 90,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896 : 41,384 = 41,384 : x
  2. Step 2: Convert to fraction form
    18,896/41,384 = 41,384/x
  3. Step 3: Cross multiply
    18,896x = 41,384 × 41,384
  4. Step 4: Simplify right side
    18,896x = 1,712,635,456
  5. Step 5: Solve for x
    x = 1,712,635,456/18,896
  6. Step 6: Final answer
    x = 90,634.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.