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Finding the Third Proportional to 11,027 and 22,945

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Solution

The third proportional to 11,027 and 22,945 is: 47,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027 : 22,945 = 22,945 : x
  2. Step 2: Convert to fraction form
    11,027/22,945 = 22,945/x
  3. Step 3: Cross multiply
    11,027x = 22,945 × 22,945
  4. Step 4: Simplify right side
    11,027x = 526,473,025
  5. Step 5: Solve for x
    x = 526,473,025/11,027
  6. Step 6: Final answer
    x = 47,743.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.