Finding the Third Proportional to 47,478 and 73,807
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Solution
The third proportional to 47,478 and 73,807 is: 114,736.79
Step by Step Solution
- Step 1: Write the proportion equation
47,478 : 73,807 = 73,807 : x - Step 2: Convert to fraction form
47,478/73,807 = 73,807/x - Step 3: Cross multiply
47,478x = 73,807 × 73,807 - Step 4: Simplify right side
47,478x = 5,447,473,249 - Step 5: Solve for x
x = 5,447,473,249/47,478 - Step 6: Final answer
x = 114,736.79
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.