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Finding the Third Proportional to 23,718.50 and 50,049

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Solution

The third proportional to 23,718.50 and 50,049 is: 105,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718.50 : 50,049 = 50,049 : x
  2. Step 2: Convert to fraction form
    23,718.50/50,049 = 50,049/x
  3. Step 3: Cross multiply
    23,718.50x = 50,049 × 50,049
  4. Step 4: Simplify right side
    23,718.50x = 2,504,902,401
  5. Step 5: Solve for x
    x = 2,504,902,401/23,718.50
  6. Step 6: Final answer
    x = 105,609.65

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Why These Related Problems?

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