Finding the Third Proportional to 32,248 and 49,830
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Solution
The third proportional to 32,248 and 49,830 is: 76,997.92
Step by Step Solution
- Step 1: Write the proportion equation
32,248 : 49,830 = 49,830 : x - Step 2: Convert to fraction form
32,248/49,830 = 49,830/x - Step 3: Cross multiply
32,248x = 49,830 × 49,830 - Step 4: Simplify right side
32,248x = 2,483,028,900 - Step 5: Solve for x
x = 2,483,028,900/32,248 - Step 6: Final answer
x = 76,997.92
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.