Finding the Third Proportional to 8,548 and 12,822
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Solution
The third proportional to 8,548 and 12,822 is: 19,233
Step by Step Solution
- Step 1: Write the proportion equation
8,548 : 12,822 = 12,822 : x - Step 2: Convert to fraction form
8,548/12,822 = 12,822/x - Step 3: Cross multiply
8,548x = 12,822 × 12,822 - Step 4: Simplify right side
8,548x = 164,403,684 - Step 5: Solve for x
x = 164,403,684/8,548 - Step 6: Final answer
x = 19,233
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.