Finding the Third Proportional to 19,502.25 and 42,771
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Solution
The third proportional to 19,502.25 and 42,771 is: 93,802.43
Step by Step Solution
- Step 1: Write the proportion equation
19,502.25 : 42,771 = 42,771 : x - Step 2: Convert to fraction form
19,502.25/42,771 = 42,771/x - Step 3: Cross multiply
19,502.25x = 42,771 × 42,771 - Step 4: Simplify right side
19,502.25x = 1,829,358,441 - Step 5: Solve for x
x = 1,829,358,441/19,502.25 - Step 6: Final answer
x = 93,802.43
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.