Finding the Third Proportional to 38,634 and 84,642
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Solution
The third proportional to 38,634 and 84,642 is: 185,439.46
Step by Step Solution
- Step 1: Write the proportion equation
38,634 : 84,642 = 84,642 : x - Step 2: Convert to fraction form
38,634/84,642 = 84,642/x - Step 3: Cross multiply
38,634x = 84,642 × 84,642 - Step 4: Simplify right side
38,634x = 7,164,268,164 - Step 5: Solve for x
x = 7,164,268,164/38,634 - Step 6: Final answer
x = 185,439.46
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.