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Finding the Third Proportional to 5,136.75 and 7,784.44

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Solution

The third proportional to 5,136.75 and 7,784.44 is: 11,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.75 : 7,784.44 = 7,784.44 : x
  2. Step 2: Convert to fraction form
    5,136.75/7,784.44 = 7,784.44/x
  3. Step 3: Cross multiply
    5,136.75x = 7,784.44 × 7,784.44
  4. Step 4: Simplify right side
    5,136.75x = 60,597,467.19
  5. Step 5: Solve for x
    x = 60,597,467.19/5,136.75
  6. Step 6: Final answer
    x = 11,796.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.