Finding the Third Proportional to 49,482 and 103,824.50
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Solution
The third proportional to 49,482 and 103,824.50 is: 217,847.44
Step by Step Solution
- Step 1: Write the proportion equation
49,482 : 103,824.50 = 103,824.50 : x - Step 2: Convert to fraction form
49,482/103,824.50 = 103,824.50/x - Step 3: Cross multiply
49,482x = 103,824.50 × 103,824.50 - Step 4: Simplify right side
49,482x = 10,779,526,800.25 - Step 5: Solve for x
x = 10,779,526,800.25/49,482 - Step 6: Final answer
x = 217,847.44
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.