Finding the Third Proportional to 14,344 and 31,284
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Solution
The third proportional to 14,344 and 31,284 is: 68,229.83
Step by Step Solution
- Step 1: Write the proportion equation
14,344 : 31,284 = 31,284 : x - Step 2: Convert to fraction form
14,344/31,284 = 31,284/x - Step 3: Cross multiply
14,344x = 31,284 × 31,284 - Step 4: Simplify right side
14,344x = 978,688,656 - Step 5: Solve for x
x = 978,688,656/14,344 - Step 6: Final answer
x = 68,229.83
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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.