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Finding the Third Proportional to 22,013 and 42,923

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Solution

The third proportional to 22,013 and 42,923 is: 83,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013 : 42,923 = 42,923 : x
  2. Step 2: Convert to fraction form
    22,013/42,923 = 42,923/x
  3. Step 3: Cross multiply
    22,013x = 42,923 × 42,923
  4. Step 4: Simplify right side
    22,013x = 1,842,383,929
  5. Step 5: Solve for x
    x = 1,842,383,929/22,013
  6. Step 6: Final answer
    x = 83,695.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.