Finding the Third Proportional to 11,206 and 16,283.50
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Solution
The third proportional to 11,206 and 16,283.50 is: 23,661.64
Step by Step Solution
- Step 1: Write the proportion equation
11,206 : 16,283.50 = 16,283.50 : x - Step 2: Convert to fraction form
11,206/16,283.50 = 16,283.50/x - Step 3: Cross multiply
11,206x = 16,283.50 × 16,283.50 - Step 4: Simplify right side
11,206x = 265,152,372.25 - Step 5: Solve for x
x = 265,152,372.25/11,206 - Step 6: Final answer
x = 23,661.64
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.