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Finding the Third Proportional to 17,652 and 25,094

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Solution

The third proportional to 17,652 and 25,094 is: 35,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652 : 25,094 = 25,094 : x
  2. Step 2: Convert to fraction form
    17,652/25,094 = 25,094/x
  3. Step 3: Cross multiply
    17,652x = 25,094 × 25,094
  4. Step 4: Simplify right side
    17,652x = 629,708,836
  5. Step 5: Solve for x
    x = 629,708,836/17,652
  6. Step 6: Final answer
    x = 35,673.51

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.