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Finding the Third Proportional to 7,136.44 and 10,704.66

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Solution

The third proportional to 7,136.44 and 10,704.66 is: 16,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.44 : 10,704.66 = 10,704.66 : x
  2. Step 2: Convert to fraction form
    7,136.44/10,704.66 = 10,704.66/x
  3. Step 3: Cross multiply
    7,136.44x = 10,704.66 × 10,704.66
  4. Step 4: Simplify right side
    7,136.44x = 114,589,665.43
  5. Step 5: Solve for x
    x = 114,589,665.43/7,136.44
  6. Step 6: Final answer
    x = 16,056.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.