Finding the Third Proportional to 6,416 and 13,616
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Solution
The third proportional to 6,416 and 13,616 is: 28,895.80
Step by Step Solution
- Step 1: Write the proportion equation
6,416 : 13,616 = 13,616 : x - Step 2: Convert to fraction form
6,416/13,616 = 13,616/x - Step 3: Cross multiply
6,416x = 13,616 × 13,616 - Step 4: Simplify right side
6,416x = 185,395,456 - Step 5: Solve for x
x = 185,395,456/6,416 - Step 6: Final answer
x = 28,895.80
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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.