Finding the Third Proportional to 9,949 and 14,143
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Solution
The third proportional to 9,949 and 14,143 is: 20,104.98
Step by Step Solution
- Step 1: Write the proportion equation
9,949 : 14,143 = 14,143 : x - Step 2: Convert to fraction form
9,949/14,143 = 14,143/x - Step 3: Cross multiply
9,949x = 14,143 × 14,143 - Step 4: Simplify right side
9,949x = 200,024,449 - Step 5: Solve for x
x = 200,024,449/9,949 - Step 6: Final answer
x = 20,104.98
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.