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Finding the Third Proportional to 17,007.75 and 44,376.75

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Solution

The third proportional to 17,007.75 and 44,376.75 is: 115,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007.75 : 44,376.75 = 44,376.75 : x
  2. Step 2: Convert to fraction form
    17,007.75/44,376.75 = 44,376.75/x
  3. Step 3: Cross multiply
    17,007.75x = 44,376.75 × 44,376.75
  4. Step 4: Simplify right side
    17,007.75x = 1,969,295,940.56
  5. Step 5: Solve for x
    x = 1,969,295,940.56/17,007.75
  6. Step 6: Final answer
    x = 115,788.15

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.