Finding the Third Proportional to 36,540 and 78,264
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Solution
The third proportional to 36,540 and 78,264 is: 167,631.46
Step by Step Solution
- Step 1: Write the proportion equation
36,540 : 78,264 = 78,264 : x - Step 2: Convert to fraction form
36,540/78,264 = 78,264/x - Step 3: Cross multiply
36,540x = 78,264 × 78,264 - Step 4: Simplify right side
36,540x = 6,125,253,696 - Step 5: Solve for x
x = 6,125,253,696/36,540 - Step 6: Final answer
x = 167,631.46
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.