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Finding the Third Proportional to 7,704.75 and 11,010.75

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Solution

The third proportional to 7,704.75 and 11,010.75 is: 15,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.75 : 11,010.75 = 11,010.75 : x
  2. Step 2: Convert to fraction form
    7,704.75/11,010.75 = 11,010.75/x
  3. Step 3: Cross multiply
    7,704.75x = 11,010.75 × 11,010.75
  4. Step 4: Simplify right side
    7,704.75x = 121,236,615.56
  5. Step 5: Solve for x
    x = 121,236,615.56/7,704.75
  6. Step 6: Final answer
    x = 15,735.31

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.