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Finding the Third Proportional to 10,471 and 23,006

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Solution

The third proportional to 10,471 and 23,006 is: 50,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471 : 23,006 = 23,006 : x
  2. Step 2: Convert to fraction form
    10,471/23,006 = 23,006/x
  3. Step 3: Cross multiply
    10,471x = 23,006 × 23,006
  4. Step 4: Simplify right side
    10,471x = 529,276,036
  5. Step 5: Solve for x
    x = 529,276,036/10,471
  6. Step 6: Final answer
    x = 50,546.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.