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Finding the Third Proportional to 17,777 and 41,155

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Solution

The third proportional to 17,777 and 41,155 is: 95,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777 : 41,155 = 41,155 : x
  2. Step 2: Convert to fraction form
    17,777/41,155 = 41,155/x
  3. Step 3: Cross multiply
    17,777x = 41,155 × 41,155
  4. Step 4: Simplify right side
    17,777x = 1,693,734,025
  5. Step 5: Solve for x
    x = 1,693,734,025/17,777
  6. Step 6: Final answer
    x = 95,276.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.