Finding the Third Proportional to 9,440 and 14,646
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Solution
The third proportional to 9,440 and 14,646 is: 22,723.02
Step by Step Solution
- Step 1: Write the proportion equation
9,440 : 14,646 = 14,646 : x - Step 2: Convert to fraction form
9,440/14,646 = 14,646/x - Step 3: Cross multiply
9,440x = 14,646 × 14,646 - Step 4: Simplify right side
9,440x = 214,505,316 - Step 5: Solve for x
x = 214,505,316/9,440 - Step 6: Final answer
x = 22,723.02
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.