Finding the Third Proportional to 47,050 and 72,074
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Solution
The third proportional to 47,050 and 72,074 is: 110,407.26
Step by Step Solution
- Step 1: Write the proportion equation
47,050 : 72,074 = 72,074 : x - Step 2: Convert to fraction form
47,050/72,074 = 72,074/x - Step 3: Cross multiply
47,050x = 72,074 × 72,074 - Step 4: Simplify right side
47,050x = 5,194,661,476 - Step 5: Solve for x
x = 5,194,661,476/47,050 - Step 6: Final answer
x = 110,407.26
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.