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Finding the Third Proportional to 4,071 and 6,912.75

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Solution

The third proportional to 4,071 and 6,912.75 is: 11,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071 : 6,912.75 = 6,912.75 : x
  2. Step 2: Convert to fraction form
    4,071/6,912.75 = 6,912.75/x
  3. Step 3: Cross multiply
    4,071x = 6,912.75 × 6,912.75
  4. Step 4: Simplify right side
    4,071x = 47,786,112.56
  5. Step 5: Solve for x
    x = 47,786,112.56/4,071
  6. Step 6: Final answer
    x = 11,738.18

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.