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Finding the Third Proportional to 17,795 and 41,191

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Solution

The third proportional to 17,795 and 41,191 is: 95,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,795 : 41,191 = 41,191 : x
  2. Step 2: Convert to fraction form
    17,795/41,191 = 41,191/x
  3. Step 3: Cross multiply
    17,795x = 41,191 × 41,191
  4. Step 4: Simplify right side
    17,795x = 1,696,698,481
  5. Step 5: Solve for x
    x = 1,696,698,481/17,795
  6. Step 6: Final answer
    x = 95,346.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.