Finding the Third Proportional to 22,964 and 49,784
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Solution
The third proportional to 22,964 and 49,784 is: 107,927.48
Step by Step Solution
- Step 1: Write the proportion equation
22,964 : 49,784 = 49,784 : x - Step 2: Convert to fraction form
22,964/49,784 = 49,784/x - Step 3: Cross multiply
22,964x = 49,784 × 49,784 - Step 4: Simplify right side
22,964x = 2,478,446,656 - Step 5: Solve for x
x = 2,478,446,656/22,964 - Step 6: Final answer
x = 107,927.48
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.