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Finding the Third Proportional to 3,968 and 5,152

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Solution

The third proportional to 3,968 and 5,152 is: 6,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968 : 5,152 = 5,152 : x
  2. Step 2: Convert to fraction form
    3,968/5,152 = 5,152/x
  3. Step 3: Cross multiply
    3,968x = 5,152 × 5,152
  4. Step 4: Simplify right side
    3,968x = 26,543,104
  5. Step 5: Solve for x
    x = 26,543,104/3,968
  6. Step 6: Final answer
    x = 6,689.29

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.