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Finding the Third Proportional to 23,035.50 and 50,241

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Solution

The third proportional to 23,035.50 and 50,241 is: 109,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035.50 : 50,241 = 50,241 : x
  2. Step 2: Convert to fraction form
    23,035.50/50,241 = 50,241/x
  3. Step 3: Cross multiply
    23,035.50x = 50,241 × 50,241
  4. Step 4: Simplify right side
    23,035.50x = 2,524,158,081
  5. Step 5: Solve for x
    x = 2,524,158,081/23,035.50
  6. Step 6: Final answer
    x = 109,576.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.