Finding the Third Proportional to 6,257.25 and 8,427.75
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Solution
The third proportional to 6,257.25 and 8,427.75 is: 11,351.15
Step by Step Solution
- Step 1: Write the proportion equation
6,257.25 : 8,427.75 = 8,427.75 : x - Step 2: Convert to fraction form
6,257.25/8,427.75 = 8,427.75/x - Step 3: Cross multiply
6,257.25x = 8,427.75 × 8,427.75 - Step 4: Simplify right side
6,257.25x = 71,026,970.06 - Step 5: Solve for x
x = 71,026,970.06/6,257.25 - Step 6: Final answer
x = 11,351.15
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.