Finding the Third Proportional to 23,317.50 and 32,712
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Solution
The third proportional to 23,317.50 and 32,712 is: 45,891.50
Step by Step Solution
- Step 1: Write the proportion equation
23,317.50 : 32,712 = 32,712 : x - Step 2: Convert to fraction form
23,317.50/32,712 = 32,712/x - Step 3: Cross multiply
23,317.50x = 32,712 × 32,712 - Step 4: Simplify right side
23,317.50x = 1,070,074,944 - Step 5: Solve for x
x = 1,070,074,944/23,317.50 - Step 6: Final answer
x = 45,891.50
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.