Finding the Third Proportional to 610 and 1,145
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Solution
The third proportional to 610 and 1,145 is: 2,149.22
Step by Step Solution
- Step 1: Write the proportion equation
610 : 1,145 = 1,145 : x - Step 2: Convert to fraction form
610/1,145 = 1,145/x - Step 3: Cross multiply
610x = 1,145 × 1,145 - Step 4: Simplify right side
610x = 1,311,025 - Step 5: Solve for x
x = 1,311,025/610 - Step 6: Final answer
x = 2,149.22
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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.