Finding the Third Proportional to 14,789 and 32,413
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Solution
The third proportional to 14,789 and 32,413 is: 71,039.46
Step by Step Solution
- Step 1: Write the proportion equation
14,789 : 32,413 = 32,413 : x - Step 2: Convert to fraction form
14,789/32,413 = 32,413/x - Step 3: Cross multiply
14,789x = 32,413 × 32,413 - Step 4: Simplify right side
14,789x = 1,050,602,569 - Step 5: Solve for x
x = 1,050,602,569/14,789 - Step 6: Final answer
x = 71,039.46
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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.