Finding the Third Proportional to 1,183.13 and 1,577.06
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Solution
The third proportional to 1,183.13 and 1,577.06 is: 2,102.17
Step by Step Solution
- Step 1: Write the proportion equation
1,183.13 : 1,577.06 = 1,577.06 : x - Step 2: Convert to fraction form
1,183.13/1,577.06 = 1,577.06/x - Step 3: Cross multiply
1,183.13x = 1,577.06 × 1,577.06 - Step 4: Simplify right side
1,183.13x = 2,487,126.13 - Step 5: Solve for x
x = 2,487,126.13/1,183.13 - Step 6: Final answer
x = 2,102.17
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.