Finding the Third Proportional to 17,910 and 19,746
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Solution
The third proportional to 17,910 and 19,746 is: 21,770.21
Step by Step Solution
- Step 1: Write the proportion equation
17,910 : 19,746 = 19,746 : x - Step 2: Convert to fraction form
17,910/19,746 = 19,746/x - Step 3: Cross multiply
17,910x = 19,746 × 19,746 - Step 4: Simplify right side
17,910x = 389,904,516 - Step 5: Solve for x
x = 389,904,516/17,910 - Step 6: Final answer
x = 21,770.21
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.