Finding the Third Proportional to 2,014 and 3,972
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Solution
The third proportional to 2,014 and 3,972 is: 7,833.56
Step by Step Solution
- Step 1: Write the proportion equation
2,014 : 3,972 = 3,972 : x - Step 2: Convert to fraction form
2,014/3,972 = 3,972/x - Step 3: Cross multiply
2,014x = 3,972 × 3,972 - Step 4: Simplify right side
2,014x = 15,776,784 - Step 5: Solve for x
x = 15,776,784/2,014 - Step 6: Final answer
x = 7,833.56
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.