Finding the Third Proportional to 19,784 and 29,752
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Solution
The third proportional to 19,784 and 29,752 is: 44,742.29
Step by Step Solution
- Step 1: Write the proportion equation
19,784 : 29,752 = 29,752 : x - Step 2: Convert to fraction form
19,784/29,752 = 29,752/x - Step 3: Cross multiply
19,784x = 29,752 × 29,752 - Step 4: Simplify right side
19,784x = 885,181,504 - Step 5: Solve for x
x = 885,181,504/19,784 - Step 6: Final answer
x = 44,742.29
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.