Finding the Third Proportional to 35,712 and 73,062
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Solution
The third proportional to 35,712 and 73,062 is: 149,475.13
Step by Step Solution
- Step 1: Write the proportion equation
35,712 : 73,062 = 73,062 : x - Step 2: Convert to fraction form
35,712/73,062 = 73,062/x - Step 3: Cross multiply
35,712x = 73,062 × 73,062 - Step 4: Simplify right side
35,712x = 5,338,055,844 - Step 5: Solve for x
x = 5,338,055,844/35,712 - Step 6: Final answer
x = 149,475.13
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.