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Finding the Third Proportional to 3,257.72 and 7,608.94

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Solution

The third proportional to 3,257.72 and 7,608.94 is: 17,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.72 : 7,608.94 = 7,608.94 : x
  2. Step 2: Convert to fraction form
    3,257.72/7,608.94 = 7,608.94/x
  3. Step 3: Cross multiply
    3,257.72x = 7,608.94 × 7,608.94
  4. Step 4: Simplify right side
    3,257.72x = 57,895,929.88
  5. Step 5: Solve for x
    x = 57,895,929.88/3,257.72
  6. Step 6: Final answer
    x = 17,771.92

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.