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Finding the Third Proportional to 18,903 and 41,424

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Solution

The third proportional to 18,903 and 41,424 is: 90,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,903 : 41,424 = 41,424 : x
  2. Step 2: Convert to fraction form
    18,903/41,424 = 41,424/x
  3. Step 3: Cross multiply
    18,903x = 41,424 × 41,424
  4. Step 4: Simplify right side
    18,903x = 1,715,947,776
  5. Step 5: Solve for x
    x = 1,715,947,776/18,903
  6. Step 6: Final answer
    x = 90,776.48

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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.