Finding the Third Proportional to 9,412 and 12,922
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Solution
The third proportional to 9,412 and 12,922 is: 17,740.98
Step by Step Solution
- Step 1: Write the proportion equation
9,412 : 12,922 = 12,922 : x - Step 2: Convert to fraction form
9,412/12,922 = 12,922/x - Step 3: Cross multiply
9,412x = 12,922 × 12,922 - Step 4: Simplify right side
9,412x = 166,978,084 - Step 5: Solve for x
x = 166,978,084/9,412 - Step 6: Final answer
x = 17,740.98
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.