Finding the Third Proportional to 1,176.75 and 2,509.75
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Solution
The third proportional to 1,176.75 and 2,509.75 is: 5,352.75
Step by Step Solution
- Step 1: Write the proportion equation
1,176.75 : 2,509.75 = 2,509.75 : x - Step 2: Convert to fraction form
1,176.75/2,509.75 = 2,509.75/x - Step 3: Cross multiply
1,176.75x = 2,509.75 × 2,509.75 - Step 4: Simplify right side
1,176.75x = 6,298,845.06 - Step 5: Solve for x
x = 6,298,845.06/1,176.75 - Step 6: Final answer
x = 5,352.75
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.