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Finding the Third Proportional to 36,224 and 73,984

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Solution

The third proportional to 36,224 and 73,984 is: 151,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,224 : 73,984 = 73,984 : x
  2. Step 2: Convert to fraction form
    36,224/73,984 = 73,984/x
  3. Step 3: Cross multiply
    36,224x = 73,984 × 73,984
  4. Step 4: Simplify right side
    36,224x = 5,473,632,256
  5. Step 5: Solve for x
    x = 5,473,632,256/36,224
  6. Step 6: Final answer
    x = 151,105.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.