Finding the Third Proportional to 9,843 and 21,414
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Solution
The third proportional to 9,843 and 21,414 is: 46,587.36
Step by Step Solution
- Step 1: Write the proportion equation
9,843 : 21,414 = 21,414 : x - Step 2: Convert to fraction form
9,843/21,414 = 21,414/x - Step 3: Cross multiply
9,843x = 21,414 × 21,414 - Step 4: Simplify right side
9,843x = 458,559,396 - Step 5: Solve for x
x = 458,559,396/9,843 - Step 6: Final answer
x = 46,587.36
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.