Finding the Third Proportional to 30,241 and 47,017.50
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Solution
The third proportional to 30,241 and 47,017.50 is: 73,100.93
Step by Step Solution
- Step 1: Write the proportion equation
30,241 : 47,017.50 = 47,017.50 : x - Step 2: Convert to fraction form
30,241/47,017.50 = 47,017.50/x - Step 3: Cross multiply
30,241x = 47,017.50 × 47,017.50 - Step 4: Simplify right side
30,241x = 2,210,645,306.25 - Step 5: Solve for x
x = 2,210,645,306.25/30,241 - Step 6: Final answer
x = 73,100.93
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.