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Finding the Third Proportional to 19,481.69 and 42,608.38

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Solution

The third proportional to 19,481.69 and 42,608.38 is: 93,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,481.69 : 42,608.38 = 42,608.38 : x
  2. Step 2: Convert to fraction form
    19,481.69/42,608.38 = 42,608.38/x
  3. Step 3: Cross multiply
    19,481.69x = 42,608.38 × 42,608.38
  4. Step 4: Simplify right side
    19,481.69x = 1,815,473,620.14
  5. Step 5: Solve for x
    x = 1,815,473,620.14/19,481.69
  6. Step 6: Final answer
    x = 93,188.73

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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.