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Finding the Third Proportional to 23,086.69 and 49,704.47

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Solution

The third proportional to 23,086.69 and 49,704.47 is: 107,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.69 : 49,704.47 = 49,704.47 : x
  2. Step 2: Convert to fraction form
    23,086.69/49,704.47 = 49,704.47/x
  3. Step 3: Cross multiply
    23,086.69x = 49,704.47 × 49,704.47
  4. Step 4: Simplify right side
    23,086.69x = 2,470,534,213.72
  5. Step 5: Solve for x
    x = 2,470,534,213.72/23,086.69
  6. Step 6: Final answer
    x = 107,011.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.