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Finding the Third Proportional to 50,530.50 and 74,814.75

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Solution

The third proportional to 50,530.50 and 74,814.75 is: 110,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,530.50 : 74,814.75 = 74,814.75 : x
  2. Step 2: Convert to fraction form
    50,530.50/74,814.75 = 74,814.75/x
  3. Step 3: Cross multiply
    50,530.50x = 74,814.75 × 74,814.75
  4. Step 4: Simplify right side
    50,530.50x = 5,597,246,817.56
  5. Step 5: Solve for x
    x = 5,597,246,817.56/50,530.50
  6. Step 6: Final answer
    x = 110,769.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.