Finding the Third Proportional to 10,976 and 17,022
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Solution
The third proportional to 10,976 and 17,022 is: 26,398.37
Step by Step Solution
- Step 1: Write the proportion equation
10,976 : 17,022 = 17,022 : x - Step 2: Convert to fraction form
10,976/17,022 = 17,022/x - Step 3: Cross multiply
10,976x = 17,022 × 17,022 - Step 4: Simplify right side
10,976x = 289,748,484 - Step 5: Solve for x
x = 289,748,484/10,976 - Step 6: Final answer
x = 26,398.37
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.