Finding the Third Proportional to 17,921 and 27,842
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Solution
The third proportional to 17,921 and 27,842 is: 43,255.23
Step by Step Solution
- Step 1: Write the proportion equation
17,921 : 27,842 = 27,842 : x - Step 2: Convert to fraction form
17,921/27,842 = 27,842/x - Step 3: Cross multiply
17,921x = 27,842 × 27,842 - Step 4: Simplify right side
17,921x = 775,176,964 - Step 5: Solve for x
x = 775,176,964/17,921 - Step 6: Final answer
x = 43,255.23
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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.