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Finding the Third Proportional to 22,880 and 49,635

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Solution

The third proportional to 22,880 and 49,635 is: 107,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,880 : 49,635 = 49,635 : x
  2. Step 2: Convert to fraction form
    22,880/49,635 = 49,635/x
  3. Step 3: Cross multiply
    22,880x = 49,635 × 49,635
  4. Step 4: Simplify right side
    22,880x = 2,463,633,225
  5. Step 5: Solve for x
    x = 2,463,633,225/22,880
  6. Step 6: Final answer
    x = 107,676.28

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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.