Finding the Third Proportional to 13,998 and 21,726
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Solution
The third proportional to 13,998 and 21,726 is: 33,720.47
Step by Step Solution
- Step 1: Write the proportion equation
13,998 : 21,726 = 21,726 : x - Step 2: Convert to fraction form
13,998/21,726 = 21,726/x - Step 3: Cross multiply
13,998x = 21,726 × 21,726 - Step 4: Simplify right side
13,998x = 472,019,076 - Step 5: Solve for x
x = 472,019,076/13,998 - Step 6: Final answer
x = 33,720.47
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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.