Finding the Third Proportional to 9,248 and 10,880
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Solution
The third proportional to 9,248 and 10,880 is: 12,800
Step by Step Solution
- Step 1: Write the proportion equation
9,248 : 10,880 = 10,880 : x - Step 2: Convert to fraction form
9,248/10,880 = 10,880/x - Step 3: Cross multiply
9,248x = 10,880 × 10,880 - Step 4: Simplify right side
9,248x = 118,374,400 - Step 5: Solve for x
x = 118,374,400/9,248 - Step 6: Final answer
x = 12,800
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.