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Finding the Third Proportional to 20,027 and 28,848

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Solution

The third proportional to 20,027 and 28,848 is: 41,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027 : 28,848 = 28,848 : x
  2. Step 2: Convert to fraction form
    20,027/28,848 = 28,848/x
  3. Step 3: Cross multiply
    20,027x = 28,848 × 28,848
  4. Step 4: Simplify right side
    20,027x = 832,207,104
  5. Step 5: Solve for x
    x = 832,207,104/20,027
  6. Step 6: Final answer
    x = 41,554.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.