Finding the Third Proportional to 9,783 and 14,019
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Solution
The third proportional to 9,783 and 14,019 is: 20,089.17
Step by Step Solution
- Step 1: Write the proportion equation
9,783 : 14,019 = 14,019 : x - Step 2: Convert to fraction form
9,783/14,019 = 14,019/x - Step 3: Cross multiply
9,783x = 14,019 × 14,019 - Step 4: Simplify right side
9,783x = 196,532,361 - Step 5: Solve for x
x = 196,532,361/9,783 - Step 6: Final answer
x = 20,089.17
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.