Finding the Third Proportional to 33,216 and 49,920
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Solution
The third proportional to 33,216 and 49,920 is: 75,024.28
Step by Step Solution
- Step 1: Write the proportion equation
33,216 : 49,920 = 49,920 : x - Step 2: Convert to fraction form
33,216/49,920 = 49,920/x - Step 3: Cross multiply
33,216x = 49,920 × 49,920 - Step 4: Simplify right side
33,216x = 2,492,006,400 - Step 5: Solve for x
x = 2,492,006,400/33,216 - Step 6: Final answer
x = 75,024.28
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.