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Finding the Third Proportional to 23,515.31 and 50,309.44

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Solution

The third proportional to 23,515.31 and 50,309.44 is: 107,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,515.31 : 50,309.44 = 50,309.44 : x
  2. Step 2: Convert to fraction form
    23,515.31/50,309.44 = 50,309.44/x
  3. Step 3: Cross multiply
    23,515.31x = 50,309.44 × 50,309.44
  4. Step 4: Simplify right side
    23,515.31x = 2,531,039,501.57
  5. Step 5: Solve for x
    x = 2,531,039,501.57/23,515.31
  6. Step 6: Final answer
    x = 107,633.67

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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.