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Finding the Third Proportional to 10,638 and 23,119

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Solution

The third proportional to 10,638 and 23,119 is: 50,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638 : 23,119 = 23,119 : x
  2. Step 2: Convert to fraction form
    10,638/23,119 = 23,119/x
  3. Step 3: Cross multiply
    10,638x = 23,119 × 23,119
  4. Step 4: Simplify right side
    10,638x = 534,488,161
  5. Step 5: Solve for x
    x = 534,488,161/10,638
  6. Step 6: Final answer
    x = 50,243.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.