Finding the Third Proportional to 7,462 and 16,096
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Solution
The third proportional to 7,462 and 16,096 is: 34,720.08
Step by Step Solution
- Step 1: Write the proportion equation
7,462 : 16,096 = 16,096 : x - Step 2: Convert to fraction form
7,462/16,096 = 16,096/x - Step 3: Cross multiply
7,462x = 16,096 × 16,096 - Step 4: Simplify right side
7,462x = 259,081,216 - Step 5: Solve for x
x = 259,081,216/7,462 - Step 6: Final answer
x = 34,720.08
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.