Finding the Third Proportional to 7,200 and 9,720
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Solution
The third proportional to 7,200 and 9,720 is: 13,122
Step by Step Solution
- Step 1: Write the proportion equation
7,200 : 9,720 = 9,720 : x - Step 2: Convert to fraction form
7,200/9,720 = 9,720/x - Step 3: Cross multiply
7,200x = 9,720 × 9,720 - Step 4: Simplify right side
7,200x = 94,478,400 - Step 5: Solve for x
x = 94,478,400/7,200 - Step 6: Final answer
x = 13,122
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.