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Finding the Third Proportional to 36,784.13 and 80,858.25

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Solution

The third proportional to 36,784.13 and 80,858.25 is: 177,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784.13 : 80,858.25 = 80,858.25 : x
  2. Step 2: Convert to fraction form
    36,784.13/80,858.25 = 80,858.25/x
  3. Step 3: Cross multiply
    36,784.13x = 80,858.25 × 80,858.25
  4. Step 4: Simplify right side
    36,784.13x = 6,538,056,593.06
  5. Step 5: Solve for x
    x = 6,538,056,593.06/36,784.13
  6. Step 6: Final answer
    x = 177,741.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.