Finding the Third Proportional to 19,728 and 29,796
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Solution
The third proportional to 19,728 and 29,796 is: 45,002.11
Step by Step Solution
- Step 1: Write the proportion equation
19,728 : 29,796 = 29,796 : x - Step 2: Convert to fraction form
19,728/29,796 = 29,796/x - Step 3: Cross multiply
19,728x = 29,796 × 29,796 - Step 4: Simplify right side
19,728x = 887,801,616 - Step 5: Solve for x
x = 887,801,616/19,728 - Step 6: Final answer
x = 45,002.11
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.