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Finding the Third Proportional to 19,828.97 and 44,651.25

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Solution

The third proportional to 19,828.97 and 44,651.25 is: 100,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.97 : 44,651.25 = 44,651.25 : x
  2. Step 2: Convert to fraction form
    19,828.97/44,651.25 = 44,651.25/x
  3. Step 3: Cross multiply
    19,828.97x = 44,651.25 × 44,651.25
  4. Step 4: Simplify right side
    19,828.97x = 1,993,734,126.56
  5. Step 5: Solve for x
    x = 1,993,734,126.56/19,828.97
  6. Step 6: Final answer
    x = 100,546.54

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.