Finding the Third Proportional to 47,275 and 69,978
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Solution
The third proportional to 47,275 and 69,978 is: 103,583.72
Step by Step Solution
- Step 1: Write the proportion equation
47,275 : 69,978 = 69,978 : x - Step 2: Convert to fraction form
47,275/69,978 = 69,978/x - Step 3: Cross multiply
47,275x = 69,978 × 69,978 - Step 4: Simplify right side
47,275x = 4,896,920,484 - Step 5: Solve for x
x = 4,896,920,484/47,275 - Step 6: Final answer
x = 103,583.72
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.