Finding the Third Proportional to 33,354 and 72,902
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Solution
The third proportional to 33,354 and 72,902 is: 159,342.26
Step by Step Solution
- Step 1: Write the proportion equation
33,354 : 72,902 = 72,902 : x - Step 2: Convert to fraction form
33,354/72,902 = 72,902/x - Step 3: Cross multiply
33,354x = 72,902 × 72,902 - Step 4: Simplify right side
33,354x = 5,314,701,604 - Step 5: Solve for x
x = 5,314,701,604/33,354 - Step 6: Final answer
x = 159,342.26
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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.