Finding the Third Proportional to 20,488 and 31,320
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Solution
The third proportional to 20,488 and 31,320 is: 47,878.88
Step by Step Solution
- Step 1: Write the proportion equation
20,488 : 31,320 = 31,320 : x - Step 2: Convert to fraction form
20,488/31,320 = 31,320/x - Step 3: Cross multiply
20,488x = 31,320 × 31,320 - Step 4: Simplify right side
20,488x = 980,942,400 - Step 5: Solve for x
x = 980,942,400/20,488 - Step 6: Final answer
x = 47,878.88
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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.