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Finding the Third Proportional to 36,328 and 76,600

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Solution

The third proportional to 36,328 and 76,600 is: 161,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,328 : 76,600 = 76,600 : x
  2. Step 2: Convert to fraction form
    36,328/76,600 = 76,600/x
  3. Step 3: Cross multiply
    36,328x = 76,600 × 76,600
  4. Step 4: Simplify right side
    36,328x = 5,867,560,000
  5. Step 5: Solve for x
    x = 5,867,560,000/36,328
  6. Step 6: Final answer
    x = 161,516.19

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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.