Finding the Third Proportional to 5,506 and 12,242
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Solution
The third proportional to 5,506 and 12,242 is: 27,218.77
Step by Step Solution
- Step 1: Write the proportion equation
5,506 : 12,242 = 12,242 : x - Step 2: Convert to fraction form
5,506/12,242 = 12,242/x - Step 3: Cross multiply
5,506x = 12,242 × 12,242 - Step 4: Simplify right side
5,506x = 149,866,564 - Step 5: Solve for x
x = 149,866,564/5,506 - Step 6: Final answer
x = 27,218.77
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.