Finding the Third Proportional to 3,768 and 5,652
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Solution
The third proportional to 3,768 and 5,652 is: 8,478
Step by Step Solution
- Step 1: Write the proportion equation
3,768 : 5,652 = 5,652 : x - Step 2: Convert to fraction form
3,768/5,652 = 5,652/x - Step 3: Cross multiply
3,768x = 5,652 × 5,652 - Step 4: Simplify right side
3,768x = 31,945,104 - Step 5: Solve for x
x = 31,945,104/3,768 - Step 6: Final answer
x = 8,478
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.