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Finding the Third Proportional to 36,918 and 80,987.25

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Solution

The third proportional to 36,918 and 80,987.25 is: 177,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,918 : 80,987.25 = 80,987.25 : x
  2. Step 2: Convert to fraction form
    36,918/80,987.25 = 80,987.25/x
  3. Step 3: Cross multiply
    36,918x = 80,987.25 × 80,987.25
  4. Step 4: Simplify right side
    36,918x = 6,558,934,662.56
  5. Step 5: Solve for x
    x = 6,558,934,662.56/36,918
  6. Step 6: Final answer
    x = 177,662.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.