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Finding the Third Proportional to 23,496.75 and 35,989.31

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Solution

The third proportional to 23,496.75 and 35,989.31 is: 55,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.75 : 35,989.31 = 35,989.31 : x
  2. Step 2: Convert to fraction form
    23,496.75/35,989.31 = 35,989.31/x
  3. Step 3: Cross multiply
    23,496.75x = 35,989.31 × 35,989.31
  4. Step 4: Simplify right side
    23,496.75x = 1,295,230,614.22
  5. Step 5: Solve for x
    x = 1,295,230,614.22/23,496.75
  6. Step 6: Final answer
    x = 55,123.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.