Finding the Third Proportional to 9,811.13 and 11,193.19
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Solution
The third proportional to 9,811.13 and 11,193.19 is: 12,769.94
Step by Step Solution
- Step 1: Write the proportion equation
9,811.13 : 11,193.19 = 11,193.19 : x - Step 2: Convert to fraction form
9,811.13/11,193.19 = 11,193.19/x - Step 3: Cross multiply
9,811.13x = 11,193.19 × 11,193.19 - Step 4: Simplify right side
9,811.13x = 125,287,446.41 - Step 5: Solve for x
x = 125,287,446.41/9,811.13 - Step 6: Final answer
x = 12,769.94
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Why These Related Problems?
These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.