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Finding the Third Proportional to 4,136 and 5,966

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Solution

The third proportional to 4,136 and 5,966 is: 8,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136 : 5,966 = 5,966 : x
  2. Step 2: Convert to fraction form
    4,136/5,966 = 5,966/x
  3. Step 3: Cross multiply
    4,136x = 5,966 × 5,966
  4. Step 4: Simplify right side
    4,136x = 35,593,156
  5. Step 5: Solve for x
    x = 35,593,156/4,136
  6. Step 6: Final answer
    x = 8,605.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.