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Finding the Third Proportional to 10,781 and 23,137

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Solution

The third proportional to 10,781 and 23,137 is: 49,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781 : 23,137 = 23,137 : x
  2. Step 2: Convert to fraction form
    10,781/23,137 = 23,137/x
  3. Step 3: Cross multiply
    10,781x = 23,137 × 23,137
  4. Step 4: Simplify right side
    10,781x = 535,320,769
  5. Step 5: Solve for x
    x = 535,320,769/10,781
  6. Step 6: Final answer
    x = 49,654.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.