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Finding the Third Proportional to 18,678.50 and 41,049

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Solution

The third proportional to 18,678.50 and 41,049 is: 90,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.50 : 41,049 = 41,049 : x
  2. Step 2: Convert to fraction form
    18,678.50/41,049 = 41,049/x
  3. Step 3: Cross multiply
    18,678.50x = 41,049 × 41,049
  4. Step 4: Simplify right side
    18,678.50x = 1,685,020,401
  5. Step 5: Solve for x
    x = 1,685,020,401/18,678.50
  6. Step 6: Final answer
    x = 90,211.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.