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Finding the Third Proportional to 3,972 and 5,136

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Solution

The third proportional to 3,972 and 5,136 is: 6,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 5,136 = 5,136 : x
  2. Step 2: Convert to fraction form
    3,972/5,136 = 5,136/x
  3. Step 3: Cross multiply
    3,972x = 5,136 × 5,136
  4. Step 4: Simplify right side
    3,972x = 26,378,496
  5. Step 5: Solve for x
    x = 26,378,496/3,972
  6. Step 6: Final answer
    x = 6,641.11

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.