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Finding the Third Proportional to 34,440.75 and 71,997.75

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Solution

The third proportional to 34,440.75 and 71,997.75 is: 150,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,440.75 : 71,997.75 = 71,997.75 : x
  2. Step 2: Convert to fraction form
    34,440.75/71,997.75 = 71,997.75/x
  3. Step 3: Cross multiply
    34,440.75x = 71,997.75 × 71,997.75
  4. Step 4: Simplify right side
    34,440.75x = 5,183,676,005.06
  5. Step 5: Solve for x
    x = 5,183,676,005.06/34,440.75
  6. Step 6: Final answer
    x = 150,509.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.