Finding the Third Proportional to 21,734 and 35,960
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Solution
The third proportional to 21,734 and 35,960 is: 59,497.64
Step by Step Solution
- Step 1: Write the proportion equation
21,734 : 35,960 = 35,960 : x - Step 2: Convert to fraction form
21,734/35,960 = 35,960/x - Step 3: Cross multiply
21,734x = 35,960 × 35,960 - Step 4: Simplify right side
21,734x = 1,293,121,600 - Step 5: Solve for x
x = 1,293,121,600/21,734 - Step 6: Final answer
x = 59,497.64
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.