Finding the Third Proportional to 17,382 and 18,822
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Solution
The third proportional to 17,382 and 18,822 is: 20,381.30
Step by Step Solution
- Step 1: Write the proportion equation
17,382 : 18,822 = 18,822 : x - Step 2: Convert to fraction form
17,382/18,822 = 18,822/x - Step 3: Cross multiply
17,382x = 18,822 × 18,822 - Step 4: Simplify right side
17,382x = 354,267,684 - Step 5: Solve for x
x = 354,267,684/17,382 - Step 6: Final answer
x = 20,381.30
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.