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Finding the Third Proportional to 36,375.75 and 54,698.63

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Solution

The third proportional to 36,375.75 and 54,698.63 is: 82,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,375.75 : 54,698.63 = 54,698.63 : x
  2. Step 2: Convert to fraction form
    36,375.75/54,698.63 = 54,698.63/x
  3. Step 3: Cross multiply
    36,375.75x = 54,698.63 × 54,698.63
  4. Step 4: Simplify right side
    36,375.75x = 2,991,939,576.89
  5. Step 5: Solve for x
    x = 2,991,939,576.89/36,375.75
  6. Step 6: Final answer
    x = 82,250.94

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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.