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Finding the Third Proportional to 23,631.75 and 35,447.63

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Solution

The third proportional to 23,631.75 and 35,447.63 is: 53,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,631.75 : 35,447.63 = 35,447.63 : x
  2. Step 2: Convert to fraction form
    23,631.75/35,447.63 = 35,447.63/x
  3. Step 3: Cross multiply
    23,631.75x = 35,447.63 × 35,447.63
  4. Step 4: Simplify right side
    23,631.75x = 1,256,534,118.14
  5. Step 5: Solve for x
    x = 1,256,534,118.14/23,631.75
  6. Step 6: Final answer
    x = 53,171.44

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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.