Finding the Third Proportional to 30,810 and 47,573.50
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Solution
The third proportional to 30,810 and 47,573.50 is: 73,457.90
Step by Step Solution
- Step 1: Write the proportion equation
30,810 : 47,573.50 = 47,573.50 : x - Step 2: Convert to fraction form
30,810/47,573.50 = 47,573.50/x - Step 3: Cross multiply
30,810x = 47,573.50 × 47,573.50 - Step 4: Simplify right side
30,810x = 2,263,237,902.25 - Step 5: Solve for x
x = 2,263,237,902.25/30,810 - Step 6: Final answer
x = 73,457.90
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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.