Finding the Third Proportional to 1,095.75 and 1,968.75
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Solution
The third proportional to 1,095.75 and 1,968.75 is: 3,537.28
Step by Step Solution
- Step 1: Write the proportion equation
1,095.75 : 1,968.75 = 1,968.75 : x - Step 2: Convert to fraction form
1,095.75/1,968.75 = 1,968.75/x - Step 3: Cross multiply
1,095.75x = 1,968.75 × 1,968.75 - Step 4: Simplify right side
1,095.75x = 3,875,976.56 - Step 5: Solve for x
x = 3,875,976.56/1,095.75 - Step 6: Final answer
x = 3,537.28
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.