Finding the Third Proportional to 6,702.75 and 14,478.75
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Solution
The third proportional to 6,702.75 and 14,478.75 is: 31,275.85
Step by Step Solution
- Step 1: Write the proportion equation
6,702.75 : 14,478.75 = 14,478.75 : x - Step 2: Convert to fraction form
6,702.75/14,478.75 = 14,478.75/x - Step 3: Cross multiply
6,702.75x = 14,478.75 × 14,478.75 - Step 4: Simplify right side
6,702.75x = 209,634,201.56 - Step 5: Solve for x
x = 209,634,201.56/6,702.75 - Step 6: Final answer
x = 31,275.85
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.