Finding the Third Proportional to 1,178.13 and 2,558.75
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Solution
The third proportional to 1,178.13 and 2,558.75 is: 5,557.31
Step by Step Solution
- Step 1: Write the proportion equation
1,178.13 : 2,558.75 = 2,558.75 : x - Step 2: Convert to fraction form
1,178.13/2,558.75 = 2,558.75/x - Step 3: Cross multiply
1,178.13x = 2,558.75 × 2,558.75 - Step 4: Simplify right side
1,178.13x = 6,547,201.56 - Step 5: Solve for x
x = 6,547,201.56/1,178.13 - Step 6: Final answer
x = 5,557.31
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.