Finding the Third Proportional to 2,394 and 5,616
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Solution
The third proportional to 2,394 and 5,616 is: 13,174.38
Step by Step Solution
- Step 1: Write the proportion equation
2,394 : 5,616 = 5,616 : x - Step 2: Convert to fraction form
2,394/5,616 = 5,616/x - Step 3: Cross multiply
2,394x = 5,616 × 5,616 - Step 4: Simplify right side
2,394x = 31,539,456 - Step 5: Solve for x
x = 31,539,456/2,394 - Step 6: Final answer
x = 13,174.38
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.