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Finding the Third Proportional to 22,676 and 49,562

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Solution

The third proportional to 22,676 and 49,562 is: 108,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676 : 49,562 = 49,562 : x
  2. Step 2: Convert to fraction form
    22,676/49,562 = 49,562/x
  3. Step 3: Cross multiply
    22,676x = 49,562 × 49,562
  4. Step 4: Simplify right side
    22,676x = 2,456,391,844
  5. Step 5: Solve for x
    x = 2,456,391,844/22,676
  6. Step 6: Final answer
    x = 108,325.62

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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.