Finding the Third Proportional to 9,216 and 19,200
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Solution
The third proportional to 9,216 and 19,200 is: 40,000
Step by Step Solution
- Step 1: Write the proportion equation
9,216 : 19,200 = 19,200 : x - Step 2: Convert to fraction form
9,216/19,200 = 19,200/x - Step 3: Cross multiply
9,216x = 19,200 × 19,200 - Step 4: Simplify right side
9,216x = 368,640,000 - Step 5: Solve for x
x = 368,640,000/9,216 - Step 6: Final answer
x = 40,000
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.