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Finding the Third Proportional to 36,890.44 and 80,022.94

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Solution

The third proportional to 36,890.44 and 80,022.94 is: 173,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,890.44 : 80,022.94 = 80,022.94 : x
  2. Step 2: Convert to fraction form
    36,890.44/80,022.94 = 80,022.94/x
  3. Step 3: Cross multiply
    36,890.44x = 80,022.94 × 80,022.94
  4. Step 4: Simplify right side
    36,890.44x = 6,403,670,526.13
  5. Step 5: Solve for x
    x = 6,403,670,526.13/36,890.44
  6. Step 6: Final answer
    x = 173,586.19

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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.