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Finding the Third Proportional to 23,559.19 and 51,273.56

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Solution

The third proportional to 23,559.19 and 51,273.56 is: 111,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,559.19 : 51,273.56 = 51,273.56 : x
  2. Step 2: Convert to fraction form
    23,559.19/51,273.56 = 51,273.56/x
  3. Step 3: Cross multiply
    23,559.19x = 51,273.56 × 51,273.56
  4. Step 4: Simplify right side
    23,559.19x = 2,628,978,211.44
  5. Step 5: Solve for x
    x = 2,628,978,211.44/23,559.19
  6. Step 6: Final answer
    x = 111,590.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.