Finding the Third Proportional to 45,732 and 69,948
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Solution
The third proportional to 45,732 and 69,948 is: 106,986.85
Step by Step Solution
- Step 1: Write the proportion equation
45,732 : 69,948 = 69,948 : x - Step 2: Convert to fraction form
45,732/69,948 = 69,948/x - Step 3: Cross multiply
45,732x = 69,948 × 69,948 - Step 4: Simplify right side
45,732x = 4,892,722,704 - Step 5: Solve for x
x = 4,892,722,704/45,732 - Step 6: Final answer
x = 106,986.85
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.