Finding the Third Proportional to 7,123 and 15,705
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Solution
The third proportional to 7,123 and 15,705 is: 34,626.85
Step by Step Solution
- Step 1: Write the proportion equation
7,123 : 15,705 = 15,705 : x - Step 2: Convert to fraction form
7,123/15,705 = 15,705/x - Step 3: Cross multiply
7,123x = 15,705 × 15,705 - Step 4: Simplify right side
7,123x = 246,647,025 - Step 5: Solve for x
x = 246,647,025/7,123 - Step 6: Final answer
x = 34,626.85
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.