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Finding the Third Proportional to 36,722 and 54,945

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Solution

The third proportional to 36,722 and 54,945 is: 82,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,722 : 54,945 = 54,945 : x
  2. Step 2: Convert to fraction form
    36,722/54,945 = 54,945/x
  3. Step 3: Cross multiply
    36,722x = 54,945 × 54,945
  4. Step 4: Simplify right side
    36,722x = 3,018,953,025
  5. Step 5: Solve for x
    x = 3,018,953,025/36,722
  6. Step 6: Final answer
    x = 82,211.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.