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Finding the Third Proportional to 4,757.63 and 7,136.44

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Solution

The third proportional to 4,757.63 and 7,136.44 is: 10,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.63 : 7,136.44 = 7,136.44 : x
  2. Step 2: Convert to fraction form
    4,757.63/7,136.44 = 7,136.44/x
  3. Step 3: Cross multiply
    4,757.63x = 7,136.44 × 7,136.44
  4. Step 4: Simplify right side
    4,757.63x = 50,928,740.19
  5. Step 5: Solve for x
    x = 50,928,740.19/4,757.63
  6. Step 6: Final answer
    x = 10,704.66

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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.