Finding the Third Proportional to 8,298 and 17,694
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Solution
The third proportional to 8,298 and 17,694 is: 37,729.29
Step by Step Solution
- Step 1: Write the proportion equation
8,298 : 17,694 = 17,694 : x - Step 2: Convert to fraction form
8,298/17,694 = 17,694/x - Step 3: Cross multiply
8,298x = 17,694 × 17,694 - Step 4: Simplify right side
8,298x = 313,077,636 - Step 5: Solve for x
x = 313,077,636/8,298 - Step 6: Final answer
x = 37,729.29
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.