Finding the Third Proportional to 19,830 and 42,925.50
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Solution
The third proportional to 19,830 and 42,925.50 is: 92,919.75
Step by Step Solution
- Step 1: Write the proportion equation
19,830 : 42,925.50 = 42,925.50 : x - Step 2: Convert to fraction form
19,830/42,925.50 = 42,925.50/x - Step 3: Cross multiply
19,830x = 42,925.50 × 42,925.50 - Step 4: Simplify right side
19,830x = 1,842,598,550.25 - Step 5: Solve for x
x = 1,842,598,550.25/19,830 - Step 6: Final answer
x = 92,919.75
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.