Finding the Third Proportional to 33,140 and 49,062
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Solution
The third proportional to 33,140 and 49,062 is: 72,633.67
Step by Step Solution
- Step 1: Write the proportion equation
33,140 : 49,062 = 49,062 : x - Step 2: Convert to fraction form
33,140/49,062 = 49,062/x - Step 3: Cross multiply
33,140x = 49,062 × 49,062 - Step 4: Simplify right side
33,140x = 2,407,079,844 - Step 5: Solve for x
x = 2,407,079,844/33,140 - Step 6: Final answer
x = 72,633.67
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.