Finding the Third Proportional to 974.50 and 1,811
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Solution
The third proportional to 974.50 and 1,811 is: 3,365.54
Step by Step Solution
- Step 1: Write the proportion equation
974.50 : 1,811 = 1,811 : x - Step 2: Convert to fraction form
974.50/1,811 = 1,811/x - Step 3: Cross multiply
974.50x = 1,811 × 1,811 - Step 4: Simplify right side
974.50x = 3,279,721 - Step 5: Solve for x
x = 3,279,721/974.50 - Step 6: Final answer
x = 3,365.54
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Why These Related Problems?
These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.