Finding the Third Proportional to 31,493 and 69,129
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Solution
The third proportional to 31,493 and 69,129 is: 151,742.25
Step by Step Solution
- Step 1: Write the proportion equation
31,493 : 69,129 = 69,129 : x - Step 2: Convert to fraction form
31,493/69,129 = 69,129/x - Step 3: Cross multiply
31,493x = 69,129 × 69,129 - Step 4: Simplify right side
31,493x = 4,778,818,641 - Step 5: Solve for x
x = 4,778,818,641/31,493 - Step 6: Final answer
x = 151,742.25
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.