Finding the Third Proportional to 30,548 and 68,978
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Solution
The third proportional to 30,548 and 68,978 is: 155,753.71
Step by Step Solution
- Step 1: Write the proportion equation
30,548 : 68,978 = 68,978 : x - Step 2: Convert to fraction form
30,548/68,978 = 68,978/x - Step 3: Cross multiply
30,548x = 68,978 × 68,978 - Step 4: Simplify right side
30,548x = 4,757,964,484 - Step 5: Solve for x
x = 4,757,964,484/30,548 - Step 6: Final answer
x = 155,753.71
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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.