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Finding the Third Proportional to 17,680.50 and 23,604.19

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Solution

The third proportional to 17,680.50 and 23,604.19 is: 31,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.50 : 23,604.19 = 23,604.19 : x
  2. Step 2: Convert to fraction form
    17,680.50/23,604.19 = 23,604.19/x
  3. Step 3: Cross multiply
    17,680.50x = 23,604.19 × 23,604.19
  4. Step 4: Simplify right side
    17,680.50x = 557,157,667.54
  5. Step 5: Solve for x
    x = 557,157,667.54/17,680.50
  6. Step 6: Final answer
    x = 31,512.55

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.