Finding the Third Proportional to 12,856 and 16,804
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Solution
The third proportional to 12,856 and 16,804 is: 21,964.41
Step by Step Solution
- Step 1: Write the proportion equation
12,856 : 16,804 = 16,804 : x - Step 2: Convert to fraction form
12,856/16,804 = 16,804/x - Step 3: Cross multiply
12,856x = 16,804 × 16,804 - Step 4: Simplify right side
12,856x = 282,374,416 - Step 5: Solve for x
x = 282,374,416/12,856 - Step 6: Final answer
x = 21,964.41
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.