Finding the Third Proportional to 830 and 1,193
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Solution
The third proportional to 830 and 1,193 is: 1,714.76
Step by Step Solution
- Step 1: Write the proportion equation
830 : 1,193 = 1,193 : x - Step 2: Convert to fraction form
830/1,193 = 1,193/x - Step 3: Cross multiply
830x = 1,193 × 1,193 - Step 4: Simplify right side
830x = 1,423,249 - Step 5: Solve for x
x = 1,423,249/830 - Step 6: Final answer
x = 1,714.76
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.