Finding the Third Proportional to 824.25 and 1,803
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Solution
The third proportional to 824.25 and 1,803 is: 3,943.96
Step by Step Solution
- Step 1: Write the proportion equation
824.25 : 1,803 = 1,803 : x - Step 2: Convert to fraction form
824.25/1,803 = 1,803/x - Step 3: Cross multiply
824.25x = 1,803 × 1,803 - Step 4: Simplify right side
824.25x = 3,250,809 - Step 5: Solve for x
x = 3,250,809/824.25 - Step 6: Final answer
x = 3,943.96
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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.