Finding the Third Proportional to 1,137.80 and 2,316.09
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Solution
The third proportional to 1,137.80 and 2,316.09 is: 4,714.63
Step by Step Solution
- Step 1: Write the proportion equation
1,137.80 : 2,316.09 = 2,316.09 : x - Step 2: Convert to fraction form
1,137.80/2,316.09 = 2,316.09/x - Step 3: Cross multiply
1,137.80x = 2,316.09 × 2,316.09 - Step 4: Simplify right side
1,137.80x = 5,364,290.26 - Step 5: Solve for x
x = 5,364,290.26/1,137.80 - Step 6: Final answer
x = 4,714.63
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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.