Finding the Third Proportional to 26,184 and 37,413
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Solution
The third proportional to 26,184 and 37,413 is: 53,457.55
Step by Step Solution
- Step 1: Write the proportion equation
26,184 : 37,413 = 37,413 : x - Step 2: Convert to fraction form
26,184/37,413 = 37,413/x - Step 3: Cross multiply
26,184x = 37,413 × 37,413 - Step 4: Simplify right side
26,184x = 1,399,732,569 - Step 5: Solve for x
x = 1,399,732,569/26,184 - Step 6: Final answer
x = 53,457.55
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.