Finding the Third Proportional to 34,008 and 72,942
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Solution
The third proportional to 34,008 and 72,942 is: 156,449.52
Step by Step Solution
- Step 1: Write the proportion equation
34,008 : 72,942 = 72,942 : x - Step 2: Convert to fraction form
34,008/72,942 = 72,942/x - Step 3: Cross multiply
34,008x = 72,942 × 72,942 - Step 4: Simplify right side
34,008x = 5,320,535,364 - Step 5: Solve for x
x = 5,320,535,364/34,008 - Step 6: Final answer
x = 156,449.52
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.