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Finding the Third Proportional to 41,511.23 and 85,976.44

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Solution

The third proportional to 41,511.23 and 85,976.44 is: 178,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,511.23 : 85,976.44 = 85,976.44 : x
  2. Step 2: Convert to fraction form
    41,511.23/85,976.44 = 85,976.44/x
  3. Step 3: Cross multiply
    41,511.23x = 85,976.44 × 85,976.44
  4. Step 4: Simplify right side
    41,511.23x = 7,391,947,805.19
  5. Step 5: Solve for x
    x = 7,391,947,805.19/41,511.23
  6. Step 6: Final answer
    x = 178,071.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.