Finding the Third Proportional to 30,694 and 47,398
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Solution
The third proportional to 30,694 and 47,398 is: 73,192.49
Step by Step Solution
- Step 1: Write the proportion equation
30,694 : 47,398 = 47,398 : x - Step 2: Convert to fraction form
30,694/47,398 = 47,398/x - Step 3: Cross multiply
30,694x = 47,398 × 47,398 - Step 4: Simplify right side
30,694x = 2,246,570,404 - Step 5: Solve for x
x = 2,246,570,404/30,694 - Step 6: Final answer
x = 73,192.49
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.