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Finding the Third Proportional to 22,773 and 48,949

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Solution

The third proportional to 22,773 and 48,949 is: 105,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773 : 48,949 = 48,949 : x
  2. Step 2: Convert to fraction form
    22,773/48,949 = 48,949/x
  3. Step 3: Cross multiply
    22,773x = 48,949 × 48,949
  4. Step 4: Simplify right side
    22,773x = 2,396,004,601
  5. Step 5: Solve for x
    x = 2,396,004,601/22,773
  6. Step 6: Final answer
    x = 105,212.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.