Finding the Third Proportional to 2,278.50 and 6,177.75
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Solution
The third proportional to 2,278.50 and 6,177.75 is: 16,749.88
Step by Step Solution
- Step 1: Write the proportion equation
2,278.50 : 6,177.75 = 6,177.75 : x - Step 2: Convert to fraction form
2,278.50/6,177.75 = 6,177.75/x - Step 3: Cross multiply
2,278.50x = 6,177.75 × 6,177.75 - Step 4: Simplify right side
2,278.50x = 38,164,595.06 - Step 5: Solve for x
x = 38,164,595.06/2,278.50 - Step 6: Final answer
x = 16,749.88
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Why These Related Problems?
These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.