Finding the Third Proportional to 30,219 and 40,567.50
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Solution
The third proportional to 30,219 and 40,567.50 is: 54,459.85
Step by Step Solution
- Step 1: Write the proportion equation
30,219 : 40,567.50 = 40,567.50 : x - Step 2: Convert to fraction form
30,219/40,567.50 = 40,567.50/x - Step 3: Cross multiply
30,219x = 40,567.50 × 40,567.50 - Step 4: Simplify right side
30,219x = 1,645,722,056.25 - Step 5: Solve for x
x = 1,645,722,056.25/30,219 - Step 6: Final answer
x = 54,459.85
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.