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Finding the Third Proportional to 10,529 and 23,393

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Solution

The third proportional to 10,529 and 23,393 is: 51,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529 : 23,393 = 23,393 : x
  2. Step 2: Convert to fraction form
    10,529/23,393 = 23,393/x
  3. Step 3: Cross multiply
    10,529x = 23,393 × 23,393
  4. Step 4: Simplify right side
    10,529x = 547,232,449
  5. Step 5: Solve for x
    x = 547,232,449/10,529
  6. Step 6: Final answer
    x = 51,973.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.