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Finding the Third Proportional to 39,579.75 and 80,771.06

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Solution

The third proportional to 39,579.75 and 80,771.06 is: 164,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,579.75 : 80,771.06 = 80,771.06 : x
  2. Step 2: Convert to fraction form
    39,579.75/80,771.06 = 80,771.06/x
  3. Step 3: Cross multiply
    39,579.75x = 80,771.06 × 80,771.06
  4. Step 4: Simplify right side
    39,579.75x = 6,523,964,537.38
  5. Step 5: Solve for x
    x = 6,523,964,537.38/39,579.75
  6. Step 6: Final answer
    x = 164,830.87

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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.