Finding the Third Proportional to 33,042 and 72,348
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Solution
The third proportional to 33,042 and 72,348 is: 158,411.51
Step by Step Solution
- Step 1: Write the proportion equation
33,042 : 72,348 = 72,348 : x - Step 2: Convert to fraction form
33,042/72,348 = 72,348/x - Step 3: Cross multiply
33,042x = 72,348 × 72,348 - Step 4: Simplify right side
33,042x = 5,234,233,104 - Step 5: Solve for x
x = 5,234,233,104/33,042 - Step 6: Final answer
x = 158,411.51
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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.