Finding the Third Proportional to 32,152 and 50,069
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Solution
The third proportional to 32,152 and 50,069 is: 77,970.41
Step by Step Solution
- Step 1: Write the proportion equation
32,152 : 50,069 = 50,069 : x - Step 2: Convert to fraction form
32,152/50,069 = 50,069/x - Step 3: Cross multiply
32,152x = 50,069 × 50,069 - Step 4: Simplify right side
32,152x = 2,506,904,761 - Step 5: Solve for x
x = 2,506,904,761/32,152 - Step 6: Final answer
x = 77,970.41
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.