Finding the Third Proportional to 12,006 and 28,422
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Solution
The third proportional to 12,006 and 28,422 is: 67,283.87
Step by Step Solution
- Step 1: Write the proportion equation
12,006 : 28,422 = 28,422 : x - Step 2: Convert to fraction form
12,006/28,422 = 28,422/x - Step 3: Cross multiply
12,006x = 28,422 × 28,422 - Step 4: Simplify right side
12,006x = 807,810,084 - Step 5: Solve for x
x = 807,810,084/12,006 - Step 6: Final answer
x = 67,283.87
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.