Finding the Third Proportional to 20,502 and 30,978
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Solution
The third proportional to 20,502 and 30,978 is: 46,806.97
Step by Step Solution
- Step 1: Write the proportion equation
20,502 : 30,978 = 30,978 : x - Step 2: Convert to fraction form
20,502/30,978 = 30,978/x - Step 3: Cross multiply
20,502x = 30,978 × 30,978 - Step 4: Simplify right side
20,502x = 959,636,484 - Step 5: Solve for x
x = 959,636,484/20,502 - Step 6: Final answer
x = 46,806.97
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.