Finding the Third Proportional to 20,098 and 30,966
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Solution
The third proportional to 20,098 and 30,966 is: 47,710.87
Step by Step Solution
- Step 1: Write the proportion equation
20,098 : 30,966 = 30,966 : x - Step 2: Convert to fraction form
20,098/30,966 = 30,966/x - Step 3: Cross multiply
20,098x = 30,966 × 30,966 - Step 4: Simplify right side
20,098x = 958,893,156 - Step 5: Solve for x
x = 958,893,156/20,098 - Step 6: Final answer
x = 47,710.87
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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.