Finding the Third Proportional to 9,514 and 14,812
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Solution
The third proportional to 9,514 and 14,812 is: 23,060.26
Step by Step Solution
- Step 1: Write the proportion equation
9,514 : 14,812 = 14,812 : x - Step 2: Convert to fraction form
9,514/14,812 = 14,812/x - Step 3: Cross multiply
9,514x = 14,812 × 14,812 - Step 4: Simplify right side
9,514x = 219,395,344 - Step 5: Solve for x
x = 219,395,344/9,514 - Step 6: Final answer
x = 23,060.26
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.