Finding the Third Proportional to 9,887 and 12,838
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Solution
The third proportional to 9,887 and 12,838 is: 16,669.79
Step by Step Solution
- Step 1: Write the proportion equation
9,887 : 12,838 = 12,838 : x - Step 2: Convert to fraction form
9,887/12,838 = 12,838/x - Step 3: Cross multiply
9,887x = 12,838 × 12,838 - Step 4: Simplify right side
9,887x = 164,814,244 - Step 5: Solve for x
x = 164,814,244/9,887 - Step 6: Final answer
x = 16,669.79
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.