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Finding the Third Proportional to 41,744 and 91,447

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Solution

The third proportional to 41,744 and 91,447 is: 200,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,744 : 91,447 = 91,447 : x
  2. Step 2: Convert to fraction form
    41,744/91,447 = 91,447/x
  3. Step 3: Cross multiply
    41,744x = 91,447 × 91,447
  4. Step 4: Simplify right side
    41,744x = 8,362,553,809
  5. Step 5: Solve for x
    x = 8,362,553,809/41,744
  6. Step 6: Final answer
    x = 200,329.48

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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.