Finding the Third Proportional to 947 and 1,019
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Solution
The third proportional to 947 and 1,019 is: 1,096.47
Step by Step Solution
- Step 1: Write the proportion equation
947 : 1,019 = 1,019 : x - Step 2: Convert to fraction form
947/1,019 = 1,019/x - Step 3: Cross multiply
947x = 1,019 × 1,019 - Step 4: Simplify right side
947x = 1,038,361 - Step 5: Solve for x
x = 1,038,361/947 - Step 6: Final answer
x = 1,096.47
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.