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Finding the Third Proportional to 23,632.69 and 35,449.03

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Solution

The third proportional to 23,632.69 and 35,449.03 is: 53,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.69 : 35,449.03 = 35,449.03 : x
  2. Step 2: Convert to fraction form
    23,632.69/35,449.03 = 35,449.03/x
  3. Step 3: Cross multiply
    23,632.69x = 35,449.03 × 35,449.03
  4. Step 4: Simplify right side
    23,632.69x = 1,256,633,816.56
  5. Step 5: Solve for x
    x = 1,256,633,816.56/23,632.69
  6. Step 6: Final answer
    x = 53,173.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.