Finding the Third Proportional to 993 and 1,059
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Solution
The third proportional to 993 and 1,059 is: 1,129.39
Step by Step Solution
- Step 1: Write the proportion equation
993 : 1,059 = 1,059 : x - Step 2: Convert to fraction form
993/1,059 = 1,059/x - Step 3: Cross multiply
993x = 1,059 × 1,059 - Step 4: Simplify right side
993x = 1,121,481 - Step 5: Solve for x
x = 1,121,481/993 - Step 6: Final answer
x = 1,129.39
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.