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Finding the Third Proportional to 23,422 and 41,645

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Solution

The third proportional to 23,422 and 41,645 is: 74,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422 : 41,645 = 41,645 : x
  2. Step 2: Convert to fraction form
    23,422/41,645 = 41,645/x
  3. Step 3: Cross multiply
    23,422x = 41,645 × 41,645
  4. Step 4: Simplify right side
    23,422x = 1,734,306,025
  5. Step 5: Solve for x
    x = 1,734,306,025/23,422
  6. Step 6: Final answer
    x = 74,046.03

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.