Finding the Third Proportional to 30,812.25 and 47,523.75
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Solution
The third proportional to 30,812.25 and 47,523.75 is: 73,298.99
Step by Step Solution
- Step 1: Write the proportion equation
30,812.25 : 47,523.75 = 47,523.75 : x - Step 2: Convert to fraction form
30,812.25/47,523.75 = 47,523.75/x - Step 3: Cross multiply
30,812.25x = 47,523.75 × 47,523.75 - Step 4: Simplify right side
30,812.25x = 2,258,506,814.06 - Step 5: Solve for x
x = 2,258,506,814.06/30,812.25 - Step 6: Final answer
x = 73,298.99
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.