Finding the Third Proportional to 30,441 and 45,538
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Solution
The third proportional to 30,441 and 45,538 is: 68,122.25
Step by Step Solution
- Step 1: Write the proportion equation
30,441 : 45,538 = 45,538 : x - Step 2: Convert to fraction form
30,441/45,538 = 45,538/x - Step 3: Cross multiply
30,441x = 45,538 × 45,538 - Step 4: Simplify right side
30,441x = 2,073,709,444 - Step 5: Solve for x
x = 2,073,709,444/30,441 - Step 6: Final answer
x = 68,122.25
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.