Finding the Third Proportional to 32,762 and 49,083
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Solution
The third proportional to 32,762 and 49,083 is: 73,534.61
Step by Step Solution
- Step 1: Write the proportion equation
32,762 : 49,083 = 49,083 : x - Step 2: Convert to fraction form
32,762/49,083 = 49,083/x - Step 3: Cross multiply
32,762x = 49,083 × 49,083 - Step 4: Simplify right side
32,762x = 2,409,140,889 - Step 5: Solve for x
x = 2,409,140,889/32,762 - Step 6: Final answer
x = 73,534.61
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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.