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Finding the Third Proportional to 23,707.69 and 50,194.69

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Solution

The third proportional to 23,707.69 and 50,194.69 is: 106,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.69 : 50,194.69 = 50,194.69 : x
  2. Step 2: Convert to fraction form
    23,707.69/50,194.69 = 50,194.69/x
  3. Step 3: Cross multiply
    23,707.69x = 50,194.69 × 50,194.69
  4. Step 4: Simplify right side
    23,707.69x = 2,519,506,653.22
  5. Step 5: Solve for x
    x = 2,519,506,653.22/23,707.69
  6. Step 6: Final answer
    x = 106,273.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.