Finding the Third Proportional to 32,219 and 48,774
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Solution
The third proportional to 32,219 and 48,774 is: 73,835.41
Step by Step Solution
- Step 1: Write the proportion equation
32,219 : 48,774 = 48,774 : x - Step 2: Convert to fraction form
32,219/48,774 = 48,774/x - Step 3: Cross multiply
32,219x = 48,774 × 48,774 - Step 4: Simplify right side
32,219x = 2,378,903,076 - Step 5: Solve for x
x = 2,378,903,076/32,219 - Step 6: Final answer
x = 73,835.41
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.