Finding the Third Proportional to 10,940 and 16,970
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Solution
The third proportional to 10,940 and 16,970 is: 26,323.67
Step by Step Solution
- Step 1: Write the proportion equation
10,940 : 16,970 = 16,970 : x - Step 2: Convert to fraction form
10,940/16,970 = 16,970/x - Step 3: Cross multiply
10,940x = 16,970 × 16,970 - Step 4: Simplify right side
10,940x = 287,980,900 - Step 5: Solve for x
x = 287,980,900/10,940 - Step 6: Final answer
x = 26,323.67
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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.