Finding the Third Proportional to 9,424 and 13,864
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Solution
The third proportional to 9,424 and 13,864 is: 20,395.85
Step by Step Solution
- Step 1: Write the proportion equation
9,424 : 13,864 = 13,864 : x - Step 2: Convert to fraction form
9,424/13,864 = 13,864/x - Step 3: Cross multiply
9,424x = 13,864 × 13,864 - Step 4: Simplify right side
9,424x = 192,210,496 - Step 5: Solve for x
x = 192,210,496/9,424 - Step 6: Final answer
x = 20,395.85
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.