Finding the Third Proportional to 6,444 and 9,720
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Solution
The third proportional to 6,444 and 9,720 is: 14,661.45
Step by Step Solution
- Step 1: Write the proportion equation
6,444 : 9,720 = 9,720 : x - Step 2: Convert to fraction form
6,444/9,720 = 9,720/x - Step 3: Cross multiply
6,444x = 9,720 × 9,720 - Step 4: Simplify right side
6,444x = 94,478,400 - Step 5: Solve for x
x = 94,478,400/6,444 - Step 6: Final answer
x = 14,661.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.