Finding the Third Proportional to 2,070.25 and 3,197.75
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Solution
The third proportional to 2,070.25 and 3,197.75 is: 4,939.31
Step by Step Solution
- Step 1: Write the proportion equation
2,070.25 : 3,197.75 = 3,197.75 : x - Step 2: Convert to fraction form
2,070.25/3,197.75 = 3,197.75/x - Step 3: Cross multiply
2,070.25x = 3,197.75 × 3,197.75 - Step 4: Simplify right side
2,070.25x = 10,225,605.06 - Step 5: Solve for x
x = 10,225,605.06/2,070.25 - Step 6: Final answer
x = 4,939.31
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.