Finding the Third Proportional to 14,213 and 31,014
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Solution
The third proportional to 14,213 and 31,014 is: 67,675.24
Step by Step Solution
- Step 1: Write the proportion equation
14,213 : 31,014 = 31,014 : x - Step 2: Convert to fraction form
14,213/31,014 = 31,014/x - Step 3: Cross multiply
14,213x = 31,014 × 31,014 - Step 4: Simplify right side
14,213x = 961,868,196 - Step 5: Solve for x
x = 961,868,196/14,213 - Step 6: Final answer
x = 67,675.24
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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.