Finding the Third Proportional to 46,744 and 100,048
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Solution
The third proportional to 46,744 and 100,048 is: 214,136.62
Step by Step Solution
- Step 1: Write the proportion equation
46,744 : 100,048 = 100,048 : x - Step 2: Convert to fraction form
46,744/100,048 = 100,048/x - Step 3: Cross multiply
46,744x = 100,048 × 100,048 - Step 4: Simplify right side
46,744x = 10,009,602,304 - Step 5: Solve for x
x = 10,009,602,304/46,744 - Step 6: Final answer
x = 214,136.62
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.