Finding the Third Proportional to 23,448 and 33,020
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Solution
The third proportional to 23,448 and 33,020 is: 46,499.51
Step by Step Solution
- Step 1: Write the proportion equation
23,448 : 33,020 = 33,020 : x - Step 2: Convert to fraction form
23,448/33,020 = 33,020/x - Step 3: Cross multiply
23,448x = 33,020 × 33,020 - Step 4: Simplify right side
23,448x = 1,090,320,400 - Step 5: Solve for x
x = 1,090,320,400/23,448 - Step 6: Final answer
x = 46,499.51
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.