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Finding the Third Proportional to 3,168 and 5,152

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Solution

The third proportional to 3,168 and 5,152 is: 8,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168 : 5,152 = 5,152 : x
  2. Step 2: Convert to fraction form
    3,168/5,152 = 5,152/x
  3. Step 3: Cross multiply
    3,168x = 5,152 × 5,152
  4. Step 4: Simplify right side
    3,168x = 26,543,104
  5. Step 5: Solve for x
    x = 26,543,104/3,168
  6. Step 6: Final answer
    x = 8,378.51

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.