Finding the Third Proportional to 2,202.75 and 4,773.75
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Solution
The third proportional to 2,202.75 and 4,773.75 is: 10,345.56
Step by Step Solution
- Step 1: Write the proportion equation
2,202.75 : 4,773.75 = 4,773.75 : x - Step 2: Convert to fraction form
2,202.75/4,773.75 = 4,773.75/x - Step 3: Cross multiply
2,202.75x = 4,773.75 × 4,773.75 - Step 4: Simplify right side
2,202.75x = 22,788,689.06 - Step 5: Solve for x
x = 22,788,689.06/2,202.75 - Step 6: Final answer
x = 10,345.56
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.