Finding the Third Proportional to 24,828 and 34,506
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Solution
The third proportional to 24,828 and 34,506 is: 47,956.50
Step by Step Solution
- Step 1: Write the proportion equation
24,828 : 34,506 = 34,506 : x - Step 2: Convert to fraction form
24,828/34,506 = 34,506/x - Step 3: Cross multiply
24,828x = 34,506 × 34,506 - Step 4: Simplify right side
24,828x = 1,190,664,036 - Step 5: Solve for x
x = 1,190,664,036/24,828 - Step 6: Final answer
x = 47,956.50
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.