Finding the Third Proportional to 584 and 1,105
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Solution
The third proportional to 584 and 1,105 is: 2,090.80
Step by Step Solution
- Step 1: Write the proportion equation
584 : 1,105 = 1,105 : x - Step 2: Convert to fraction form
584/1,105 = 1,105/x - Step 3: Cross multiply
584x = 1,105 × 1,105 - Step 4: Simplify right side
584x = 1,221,025 - Step 5: Solve for x
x = 1,221,025/584 - Step 6: Final answer
x = 2,090.80
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.