Finding the Third Proportional to 13,035 and 30,741
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Solution
The third proportional to 13,035 and 30,741 is: 72,497.82
Step by Step Solution
- Step 1: Write the proportion equation
13,035 : 30,741 = 30,741 : x - Step 2: Convert to fraction form
13,035/30,741 = 30,741/x - Step 3: Cross multiply
13,035x = 30,741 × 30,741 - Step 4: Simplify right side
13,035x = 945,009,081 - Step 5: Solve for x
x = 945,009,081/13,035 - Step 6: Final answer
x = 72,497.82
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.