Finding the Third Proportional to 47,870 and 68,523
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Solution
The third proportional to 47,870 and 68,523 is: 98,086.52
Step by Step Solution
- Step 1: Write the proportion equation
47,870 : 68,523 = 68,523 : x - Step 2: Convert to fraction form
47,870/68,523 = 68,523/x - Step 3: Cross multiply
47,870x = 68,523 × 68,523 - Step 4: Simplify right side
47,870x = 4,695,401,529 - Step 5: Solve for x
x = 4,695,401,529/47,870 - Step 6: Final answer
x = 98,086.52
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.