Finding the Third Proportional to 35,770 and 76,160
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Solution
The third proportional to 35,770 and 76,160 is: 162,156.71
Step by Step Solution
- Step 1: Write the proportion equation
35,770 : 76,160 = 76,160 : x - Step 2: Convert to fraction form
35,770/76,160 = 76,160/x - Step 3: Cross multiply
35,770x = 76,160 × 76,160 - Step 4: Simplify right side
35,770x = 5,800,345,600 - Step 5: Solve for x
x = 5,800,345,600/35,770 - Step 6: Final answer
x = 162,156.71
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.