Finding the Third Proportional to 45,824 and 98,464
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Solution
The third proportional to 45,824 and 98,464 is: 211,573.83
Step by Step Solution
- Step 1: Write the proportion equation
45,824 : 98,464 = 98,464 : x - Step 2: Convert to fraction form
45,824/98,464 = 98,464/x - Step 3: Cross multiply
45,824x = 98,464 × 98,464 - Step 4: Simplify right side
45,824x = 9,695,159,296 - Step 5: Solve for x
x = 9,695,159,296/45,824 - Step 6: Final answer
x = 211,573.83
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.