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Finding the Third Proportional to 4,936.50 and 7,586.44

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Solution

The third proportional to 4,936.50 and 7,586.44 is: 11,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.50 : 7,586.44 = 7,586.44 : x
  2. Step 2: Convert to fraction form
    4,936.50/7,586.44 = 7,586.44/x
  3. Step 3: Cross multiply
    4,936.50x = 7,586.44 × 7,586.44
  4. Step 4: Simplify right side
    4,936.50x = 57,554,033.94
  5. Step 5: Solve for x
    x = 57,554,033.94/4,936.50
  6. Step 6: Final answer
    x = 11,658.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.