Finding the Third Proportional to 1,382.06 and 2,952.07
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Solution
The third proportional to 1,382.06 and 2,952.07 is: 6,305.59
Step by Step Solution
- Step 1: Write the proportion equation
1,382.06 : 2,952.07 = 2,952.07 : x - Step 2: Convert to fraction form
1,382.06/2,952.07 = 2,952.07/x - Step 3: Cross multiply
1,382.06x = 2,952.07 × 2,952.07 - Step 4: Simplify right side
1,382.06x = 8,714,719.13 - Step 5: Solve for x
x = 8,714,719.13/1,382.06 - Step 6: Final answer
x = 6,305.59
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.