Finding the Third Proportional to 19,724 and 42,904
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Solution
The third proportional to 19,724 and 42,904 is: 93,325.55
Step by Step Solution
- Step 1: Write the proportion equation
19,724 : 42,904 = 42,904 : x - Step 2: Convert to fraction form
19,724/42,904 = 42,904/x - Step 3: Cross multiply
19,724x = 42,904 × 42,904 - Step 4: Simplify right side
19,724x = 1,840,753,216 - Step 5: Solve for x
x = 1,840,753,216/19,724 - Step 6: Final answer
x = 93,325.55
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.