Finding the Third Proportional to 21,420 and 28,422
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Solution
The third proportional to 21,420 and 28,422 is: 37,712.89
Step by Step Solution
- Step 1: Write the proportion equation
21,420 : 28,422 = 28,422 : x - Step 2: Convert to fraction form
21,420/28,422 = 28,422/x - Step 3: Cross multiply
21,420x = 28,422 × 28,422 - Step 4: Simplify right side
21,420x = 807,810,084 - Step 5: Solve for x
x = 807,810,084/21,420 - Step 6: Final answer
x = 37,712.89
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.