Finding the Third Proportional to 1,970.44 and 3,713.06
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Solution
The third proportional to 1,970.44 and 3,713.06 is: 6,996.84
Step by Step Solution
- Step 1: Write the proportion equation
1,970.44 : 3,713.06 = 3,713.06 : x - Step 2: Convert to fraction form
1,970.44/3,713.06 = 3,713.06/x - Step 3: Cross multiply
1,970.44x = 3,713.06 × 3,713.06 - Step 4: Simplify right side
1,970.44x = 13,786,833.13 - Step 5: Solve for x
x = 13,786,833.13/1,970.44 - Step 6: Final answer
x = 6,996.84
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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.