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Finding the Third Proportional to 41,511.25 and 91,743.75

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Solution

The third proportional to 41,511.25 and 91,743.75 is: 202,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,511.25 : 91,743.75 = 91,743.75 : x
  2. Step 2: Convert to fraction form
    41,511.25/91,743.75 = 91,743.75/x
  3. Step 3: Cross multiply
    41,511.25x = 91,743.75 × 91,743.75
  4. Step 4: Simplify right side
    41,511.25x = 8,416,915,664.06
  5. Step 5: Solve for x
    x = 8,416,915,664.06/41,511.25
  6. Step 6: Final answer
    x = 202,762.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.