Finding the Third Proportional to 2,897.25 and 6,204.75
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Solution
The third proportional to 2,897.25 and 6,204.75 is: 13,288.09
Step by Step Solution
- Step 1: Write the proportion equation
2,897.25 : 6,204.75 = 6,204.75 : x - Step 2: Convert to fraction form
2,897.25/6,204.75 = 6,204.75/x - Step 3: Cross multiply
2,897.25x = 6,204.75 × 6,204.75 - Step 4: Simplify right side
2,897.25x = 38,498,922.56 - Step 5: Solve for x
x = 38,498,922.56/2,897.25 - Step 6: Final answer
x = 13,288.09
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.