Finding the Third Proportional to 9,446 and 19,504
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Solution
The third proportional to 9,446 and 19,504 is: 40,271.65
Step by Step Solution
- Step 1: Write the proportion equation
9,446 : 19,504 = 19,504 : x - Step 2: Convert to fraction form
9,446/19,504 = 19,504/x - Step 3: Cross multiply
9,446x = 19,504 × 19,504 - Step 4: Simplify right side
9,446x = 380,406,016 - Step 5: Solve for x
x = 380,406,016/9,446 - Step 6: Final answer
x = 40,271.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.