Finding the Third Proportional to 31,488 and 42,576
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Solution
The third proportional to 31,488 and 42,576 is: 57,568.46
Step by Step Solution
- Step 1: Write the proportion equation
31,488 : 42,576 = 42,576 : x - Step 2: Convert to fraction form
31,488/42,576 = 42,576/x - Step 3: Cross multiply
31,488x = 42,576 × 42,576 - Step 4: Simplify right side
31,488x = 1,812,715,776 - Step 5: Solve for x
x = 1,812,715,776/31,488 - Step 6: Final answer
x = 57,568.46
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.