Finding the Third Proportional to 2,277.84 and 4,827.09
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Solution
The third proportional to 2,277.84 and 4,827.09 is: 10,229.34
Step by Step Solution
- Step 1: Write the proportion equation
2,277.84 : 4,827.09 = 4,827.09 : x - Step 2: Convert to fraction form
2,277.84/4,827.09 = 4,827.09/x - Step 3: Cross multiply
2,277.84x = 4,827.09 × 4,827.09 - Step 4: Simplify right side
2,277.84x = 23,300,834.07 - Step 5: Solve for x
x = 23,300,834.07/2,277.84 - Step 6: Final answer
x = 10,229.34
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.