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Finding the Third Proportional to 23,464.69 and 35,743.78

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Solution

The third proportional to 23,464.69 and 35,743.78 is: 54,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.69 : 35,743.78 = 35,743.78 : x
  2. Step 2: Convert to fraction form
    23,464.69/35,743.78 = 35,743.78/x
  3. Step 3: Cross multiply
    23,464.69x = 35,743.78 × 35,743.78
  4. Step 4: Simplify right side
    23,464.69x = 1,277,617,898.05
  5. Step 5: Solve for x
    x = 1,277,617,898.05/23,464.69
  6. Step 6: Final answer
    x = 54,448.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.