Finding the Third Proportional to 2,498 and 3,502
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Solution
The third proportional to 2,498 and 3,502 is: 4,909.53
Step by Step Solution
- Step 1: Write the proportion equation
2,498 : 3,502 = 3,502 : x - Step 2: Convert to fraction form
2,498/3,502 = 3,502/x - Step 3: Cross multiply
2,498x = 3,502 × 3,502 - Step 4: Simplify right side
2,498x = 12,264,004 - Step 5: Solve for x
x = 12,264,004/2,498 - Step 6: Final answer
x = 4,909.53
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.