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Finding the Third Proportional to 36,181.50 and 55,647

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Solution

The third proportional to 36,181.50 and 55,647 is: 85,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,181.50 : 55,647 = 55,647 : x
  2. Step 2: Convert to fraction form
    36,181.50/55,647 = 55,647/x
  3. Step 3: Cross multiply
    36,181.50x = 55,647 × 55,647
  4. Step 4: Simplify right side
    36,181.50x = 3,096,588,609
  5. Step 5: Solve for x
    x = 3,096,588,609/36,181.50
  6. Step 6: Final answer
    x = 85,584.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.