Finding the Third Proportional to 550 and 1,034
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Solution
The third proportional to 550 and 1,034 is: 1,943.92
Step by Step Solution
- Step 1: Write the proportion equation
550 : 1,034 = 1,034 : x - Step 2: Convert to fraction form
550/1,034 = 1,034/x - Step 3: Cross multiply
550x = 1,034 × 1,034 - Step 4: Simplify right side
550x = 1,069,156 - Step 5: Solve for x
x = 1,069,156/550 - Step 6: Final answer
x = 1,943.92
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Why These Related Problems?
These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.