Finding the Third Proportional to 9,232 and 17,960
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Solution
The third proportional to 9,232 and 17,960 is: 34,939.51
Step by Step Solution
- Step 1: Write the proportion equation
9,232 : 17,960 = 17,960 : x - Step 2: Convert to fraction form
9,232/17,960 = 17,960/x - Step 3: Cross multiply
9,232x = 17,960 × 17,960 - Step 4: Simplify right side
9,232x = 322,561,600 - Step 5: Solve for x
x = 322,561,600/9,232 - Step 6: Final answer
x = 34,939.51
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.