Finding the Third Proportional to 1,283.06 and 2,456.44
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Solution
The third proportional to 1,283.06 and 2,456.44 is: 4,702.88
Step by Step Solution
- Step 1: Write the proportion equation
1,283.06 : 2,456.44 = 2,456.44 : x - Step 2: Convert to fraction form
1,283.06/2,456.44 = 2,456.44/x - Step 3: Cross multiply
1,283.06x = 2,456.44 × 2,456.44 - Step 4: Simplify right side
1,283.06x = 6,034,085.19 - Step 5: Solve for x
x = 6,034,085.19/1,283.06 - Step 6: Final answer
x = 4,702.88
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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.