Finding the Third Proportional to 47,412 and 64,287
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Solution
The third proportional to 47,412 and 64,287 is: 87,168.19
Step by Step Solution
- Step 1: Write the proportion equation
47,412 : 64,287 = 64,287 : x - Step 2: Convert to fraction form
47,412/64,287 = 64,287/x - Step 3: Cross multiply
47,412x = 64,287 × 64,287 - Step 4: Simplify right side
47,412x = 4,132,818,369 - Step 5: Solve for x
x = 4,132,818,369/47,412 - Step 6: Final answer
x = 87,168.19
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.