Finding the Third Proportional to 33,862 and 74,286
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Solution
The third proportional to 33,862 and 74,286 is: 162,967.63
Step by Step Solution
- Step 1: Write the proportion equation
33,862 : 74,286 = 74,286 : x - Step 2: Convert to fraction form
33,862/74,286 = 74,286/x - Step 3: Cross multiply
33,862x = 74,286 × 74,286 - Step 4: Simplify right side
33,862x = 5,518,409,796 - Step 5: Solve for x
x = 5,518,409,796/33,862 - Step 6: Final answer
x = 162,967.63
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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.