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Finding the Third Proportional to 36,968.91 and 80,165.64

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Solution

The third proportional to 36,968.91 and 80,165.64 is: 173,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968.91 : 80,165.64 = 80,165.64 : x
  2. Step 2: Convert to fraction form
    36,968.91/80,165.64 = 80,165.64/x
  3. Step 3: Cross multiply
    36,968.91x = 80,165.64 × 80,165.64
  4. Step 4: Simplify right side
    36,968.91x = 6,426,529,310.52
  5. Step 5: Solve for x
    x = 6,426,529,310.52/36,968.91
  6. Step 6: Final answer
    x = 173,836.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.