Finding the Third Proportional to 738 and 1,103
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Solution
The third proportional to 738 and 1,103 is: 1,648.52
Step by Step Solution
- Step 1: Write the proportion equation
738 : 1,103 = 1,103 : x - Step 2: Convert to fraction form
738/1,103 = 1,103/x - Step 3: Cross multiply
738x = 1,103 × 1,103 - Step 4: Simplify right side
738x = 1,216,609 - Step 5: Solve for x
x = 1,216,609/738 - Step 6: Final answer
x = 1,648.52
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.