Finding the Third Proportional to 19,496 and 30,243
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Solution
The third proportional to 19,496 and 30,243 is: 46,914.19
Step by Step Solution
- Step 1: Write the proportion equation
19,496 : 30,243 = 30,243 : x - Step 2: Convert to fraction form
19,496/30,243 = 30,243/x - Step 3: Cross multiply
19,496x = 30,243 × 30,243 - Step 4: Simplify right side
19,496x = 914,639,049 - Step 5: Solve for x
x = 914,639,049/19,496 - Step 6: Final answer
x = 46,914.19
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.