Finding the Third Proportional to 14,986 and 31,514
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Solution
The third proportional to 14,986 and 31,514 is: 66,270.67
Step by Step Solution
- Step 1: Write the proportion equation
14,986 : 31,514 = 31,514 : x - Step 2: Convert to fraction form
14,986/31,514 = 31,514/x - Step 3: Cross multiply
14,986x = 31,514 × 31,514 - Step 4: Simplify right side
14,986x = 993,132,196 - Step 5: Solve for x
x = 993,132,196/14,986 - Step 6: Final answer
x = 66,270.67
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.