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Finding the Third Proportional to 34,849.69 and 74,194.88

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Solution

The third proportional to 34,849.69 and 74,194.88 is: 157,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,849.69 : 74,194.88 = 74,194.88 : x
  2. Step 2: Convert to fraction form
    34,849.69/74,194.88 = 74,194.88/x
  3. Step 3: Cross multiply
    34,849.69x = 74,194.88 × 74,194.88
  4. Step 4: Simplify right side
    34,849.69x = 5,504,879,476.27
  5. Step 5: Solve for x
    x = 5,504,879,476.27/34,849.69
  6. Step 6: Final answer
    x = 157,960.66

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.