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Finding the Third Proportional to 20,007 and 27,722.25

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Solution

The third proportional to 20,007 and 27,722.25 is: 38,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 27,722.25 = 27,722.25 : x
  2. Step 2: Convert to fraction form
    20,007/27,722.25 = 27,722.25/x
  3. Step 3: Cross multiply
    20,007x = 27,722.25 × 27,722.25
  4. Step 4: Simplify right side
    20,007x = 768,523,145.06
  5. Step 5: Solve for x
    x = 768,523,145.06/20,007
  6. Step 6: Final answer
    x = 38,412.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.