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Finding the Third Proportional to 36,213.50 and 73,412

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Solution

The third proportional to 36,213.50 and 73,412 is: 148,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,213.50 : 73,412 = 73,412 : x
  2. Step 2: Convert to fraction form
    36,213.50/73,412 = 73,412/x
  3. Step 3: Cross multiply
    36,213.50x = 73,412 × 73,412
  4. Step 4: Simplify right side
    36,213.50x = 5,389,321,744
  5. Step 5: Solve for x
    x = 5,389,321,744/36,213.50
  6. Step 6: Final answer
    x = 148,820.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.