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Finding the Third Proportional to 3,212.75 and 4,805.75

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Solution

The third proportional to 3,212.75 and 4,805.75 is: 7,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.75 : 4,805.75 = 4,805.75 : x
  2. Step 2: Convert to fraction form
    3,212.75/4,805.75 = 4,805.75/x
  3. Step 3: Cross multiply
    3,212.75x = 4,805.75 × 4,805.75
  4. Step 4: Simplify right side
    3,212.75x = 23,095,233.06
  5. Step 5: Solve for x
    x = 23,095,233.06/3,212.75
  6. Step 6: Final answer
    x = 7,188.62

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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.