Finding the Third Proportional to 1,038 and 1,327
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Solution
The third proportional to 1,038 and 1,327 is: 1,696.46
Step by Step Solution
- Step 1: Write the proportion equation
1,038 : 1,327 = 1,327 : x - Step 2: Convert to fraction form
1,038/1,327 = 1,327/x - Step 3: Cross multiply
1,038x = 1,327 × 1,327 - Step 4: Simplify right side
1,038x = 1,760,929 - Step 5: Solve for x
x = 1,760,929/1,038 - Step 6: Final answer
x = 1,696.46
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.