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Finding the Third Proportional to 5,136.75 and 7,936.31

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Solution

The third proportional to 5,136.75 and 7,936.31 is: 12,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.75 : 7,936.31 = 7,936.31 : x
  2. Step 2: Convert to fraction form
    5,136.75/7,936.31 = 7,936.31/x
  3. Step 3: Cross multiply
    5,136.75x = 7,936.31 × 7,936.31
  4. Step 4: Simplify right side
    5,136.75x = 62,985,056.10
  5. Step 5: Solve for x
    x = 62,985,056.10/5,136.75
  6. Step 6: Final answer
    x = 12,261.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.