Finding the Third Proportional to 1,701.84 and 2,829.09
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Solution
The third proportional to 1,701.84 and 2,829.09 is: 4,703.00
Step by Step Solution
- Step 1: Write the proportion equation
1,701.84 : 2,829.09 = 2,829.09 : x - Step 2: Convert to fraction form
1,701.84/2,829.09 = 2,829.09/x - Step 3: Cross multiply
1,701.84x = 2,829.09 × 2,829.09 - Step 4: Simplify right side
1,701.84x = 8,003,771.45 - Step 5: Solve for x
x = 8,003,771.45/1,701.84 - Step 6: Final answer
x = 4,703.00
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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.