Finding the Third Proportional to 9,426 and 20,404
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Solution
The third proportional to 9,426 and 20,404 is: 44,167.54
Step by Step Solution
- Step 1: Write the proportion equation
9,426 : 20,404 = 20,404 : x - Step 2: Convert to fraction form
9,426/20,404 = 20,404/x - Step 3: Cross multiply
9,426x = 20,404 × 20,404 - Step 4: Simplify right side
9,426x = 416,323,216 - Step 5: Solve for x
x = 416,323,216/9,426 - Step 6: Final answer
x = 44,167.54
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.