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Finding the Third Proportional to 23,814.84 and 50,913.56

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Solution

The third proportional to 23,814.84 and 50,913.56 is: 108,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.84 : 50,913.56 = 50,913.56 : x
  2. Step 2: Convert to fraction form
    23,814.84/50,913.56 = 50,913.56/x
  3. Step 3: Cross multiply
    23,814.84x = 50,913.56 × 50,913.56
  4. Step 4: Simplify right side
    23,814.84x = 2,592,190,846.44
  5. Step 5: Solve for x
    x = 2,592,190,846.44/23,814.84
  6. Step 6: Final answer
    x = 108,847.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.