Finding the Third Proportional to 725 and 945
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Solution
The third proportional to 725 and 945 is: 1,231.76
Step by Step Solution
- Step 1: Write the proportion equation
725 : 945 = 945 : x - Step 2: Convert to fraction form
725/945 = 945/x - Step 3: Cross multiply
725x = 945 × 945 - Step 4: Simplify right side
725x = 893,025 - Step 5: Solve for x
x = 893,025/725 - Step 6: Final answer
x = 1,231.76
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Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.