Finding the Third Proportional to 46,724 and 101,896
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Solution
The third proportional to 46,724 and 101,896 is: 222,215.45
Step by Step Solution
- Step 1: Write the proportion equation
46,724 : 101,896 = 101,896 : x - Step 2: Convert to fraction form
46,724/101,896 = 101,896/x - Step 3: Cross multiply
46,724x = 101,896 × 101,896 - Step 4: Simplify right side
46,724x = 10,382,794,816 - Step 5: Solve for x
x = 10,382,794,816/46,724 - Step 6: Final answer
x = 222,215.45
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.