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Finding the Third Proportional to 23,034.94 and 48,529.69

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Solution

The third proportional to 23,034.94 and 48,529.69 is: 102,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.94 : 48,529.69 = 48,529.69 : x
  2. Step 2: Convert to fraction form
    23,034.94/48,529.69 = 48,529.69/x
  3. Step 3: Cross multiply
    23,034.94x = 48,529.69 × 48,529.69
  4. Step 4: Simplify right side
    23,034.94x = 2,355,130,568.85
  5. Step 5: Solve for x
    x = 2,355,130,568.85/23,034.94
  6. Step 6: Final answer
    x = 102,241.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.