Finding the Third Proportional to 31,224 and 47,478
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Solution
The third proportional to 31,224 and 47,478 is: 72,193.20
Step by Step Solution
- Step 1: Write the proportion equation
31,224 : 47,478 = 47,478 : x - Step 2: Convert to fraction form
31,224/47,478 = 47,478/x - Step 3: Cross multiply
31,224x = 47,478 × 47,478 - Step 4: Simplify right side
31,224x = 2,254,160,484 - Step 5: Solve for x
x = 2,254,160,484/31,224 - Step 6: Final answer
x = 72,193.20
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.