Finding the Third Proportional to 892 and 970
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Solution
The third proportional to 892 and 970 is: 1,054.82
Step by Step Solution
- Step 1: Write the proportion equation
892 : 970 = 970 : x - Step 2: Convert to fraction form
892/970 = 970/x - Step 3: Cross multiply
892x = 970 × 970 - Step 4: Simplify right side
892x = 940,900 - Step 5: Solve for x
x = 940,900/892 - Step 6: Final answer
x = 1,054.82
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.