Finding the Third Proportional to 7,200 and 12,840
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Solution
The third proportional to 7,200 and 12,840 is: 22,898
Step by Step Solution
- Step 1: Write the proportion equation
7,200 : 12,840 = 12,840 : x - Step 2: Convert to fraction form
7,200/12,840 = 12,840/x - Step 3: Cross multiply
7,200x = 12,840 × 12,840 - Step 4: Simplify right side
7,200x = 164,865,600 - Step 5: Solve for x
x = 164,865,600/7,200 - Step 6: Final answer
x = 22,898
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Why These Related Problems?
These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.