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Finding the Third Proportional to 19,418 and 41,757

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Solution

The third proportional to 19,418 and 41,757 is: 89,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,418 : 41,757 = 41,757 : x
  2. Step 2: Convert to fraction form
    19,418/41,757 = 41,757/x
  3. Step 3: Cross multiply
    19,418x = 41,757 × 41,757
  4. Step 4: Simplify right side
    19,418x = 1,743,647,049
  5. Step 5: Solve for x
    x = 1,743,647,049/19,418
  6. Step 6: Final answer
    x = 89,795.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.