Finding the Third Proportional to 19,724 and 42,730
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Solution
The third proportional to 19,724 and 42,730 is: 92,570.11
Step by Step Solution
- Step 1: Write the proportion equation
19,724 : 42,730 = 42,730 : x - Step 2: Convert to fraction form
19,724/42,730 = 42,730/x - Step 3: Cross multiply
19,724x = 42,730 × 42,730 - Step 4: Simplify right side
19,724x = 1,825,852,900 - Step 5: Solve for x
x = 1,825,852,900/19,724 - Step 6: Final answer
x = 92,570.11
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.