Finding the Third Proportional to 8,282 and 10,988
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Solution
The third proportional to 8,282 and 10,988 is: 14,578.14
Step by Step Solution
- Step 1: Write the proportion equation
8,282 : 10,988 = 10,988 : x - Step 2: Convert to fraction form
8,282/10,988 = 10,988/x - Step 3: Cross multiply
8,282x = 10,988 × 10,988 - Step 4: Simplify right side
8,282x = 120,736,144 - Step 5: Solve for x
x = 120,736,144/8,282 - Step 6: Final answer
x = 14,578.14
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.