Finding the Third Proportional to 905 and 1,103
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Solution
The third proportional to 905 and 1,103 is: 1,344.32
Step by Step Solution
- Step 1: Write the proportion equation
905 : 1,103 = 1,103 : x - Step 2: Convert to fraction form
905/1,103 = 1,103/x - Step 3: Cross multiply
905x = 1,103 × 1,103 - Step 4: Simplify right side
905x = 1,216,609 - Step 5: Solve for x
x = 1,216,609/905 - Step 6: Final answer
x = 1,344.32
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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.