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Finding the Third Proportional to 41,021.44 and 89,634.94

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Solution

The third proportional to 41,021.44 and 89,634.94 is: 195,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,021.44 : 89,634.94 = 89,634.94 : x
  2. Step 2: Convert to fraction form
    41,021.44/89,634.94 = 89,634.94/x
  3. Step 3: Cross multiply
    41,021.44x = 89,634.94 × 89,634.94
  4. Step 4: Simplify right side
    41,021.44x = 8,034,422,020.63
  5. Step 5: Solve for x
    x = 8,034,422,020.63/41,021.44
  6. Step 6: Final answer
    x = 195,859.10

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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.