Finding the Third Proportional to 7,722.84 and 13,784.08
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Solution
The third proportional to 7,722.84 and 13,784.08 is: 24,602.45
Step by Step Solution
- Step 1: Write the proportion equation
7,722.84 : 13,784.08 = 13,784.08 : x - Step 2: Convert to fraction form
7,722.84/13,784.08 = 13,784.08/x - Step 3: Cross multiply
7,722.84x = 13,784.08 × 13,784.08 - Step 4: Simplify right side
7,722.84x = 190,000,863.60 - Step 5: Solve for x
x = 190,000,863.60/7,722.84 - Step 6: Final answer
x = 24,602.45
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.