Finding the Third Proportional to 38,266 and 81,164
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Solution
The third proportional to 38,266 and 81,164 is: 172,152.69
Step by Step Solution
- Step 1: Write the proportion equation
38,266 : 81,164 = 81,164 : x - Step 2: Convert to fraction form
38,266/81,164 = 81,164/x - Step 3: Cross multiply
38,266x = 81,164 × 81,164 - Step 4: Simplify right side
38,266x = 6,587,594,896 - Step 5: Solve for x
x = 6,587,594,896/38,266 - Step 6: Final answer
x = 172,152.69
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.