Finding the Third Proportional to 9,458 and 10,970
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Solution
The third proportional to 9,458 and 10,970 is: 12,723.72
Step by Step Solution
- Step 1: Write the proportion equation
9,458 : 10,970 = 10,970 : x - Step 2: Convert to fraction form
9,458/10,970 = 10,970/x - Step 3: Cross multiply
9,458x = 10,970 × 10,970 - Step 4: Simplify right side
9,458x = 120,340,900 - Step 5: Solve for x
x = 120,340,900/9,458 - Step 6: Final answer
x = 12,723.72
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.