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Finding the Third Proportional to 4,731.75 and 11,052.75

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Solution

The third proportional to 4,731.75 and 11,052.75 is: 25,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.75 : 11,052.75 = 11,052.75 : x
  2. Step 2: Convert to fraction form
    4,731.75/11,052.75 = 11,052.75/x
  3. Step 3: Cross multiply
    4,731.75x = 11,052.75 × 11,052.75
  4. Step 4: Simplify right side
    4,731.75x = 122,163,282.56
  5. Step 5: Solve for x
    x = 122,163,282.56/4,731.75
  6. Step 6: Final answer
    x = 25,817.78

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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.