Finding the Third Proportional to 5,922 and 12,960
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Solution
The third proportional to 5,922 and 12,960 is: 28,362.31
Step by Step Solution
- Step 1: Write the proportion equation
5,922 : 12,960 = 12,960 : x - Step 2: Convert to fraction form
5,922/12,960 = 12,960/x - Step 3: Cross multiply
5,922x = 12,960 × 12,960 - Step 4: Simplify right side
5,922x = 167,961,600 - Step 5: Solve for x
x = 167,961,600/5,922 - Step 6: Final answer
x = 28,362.31
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.