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Finding the Third Proportional to 11,576 and 24,529

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Solution

The third proportional to 11,576 and 24,529 is: 51,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 24,529 = 24,529 : x
  2. Step 2: Convert to fraction form
    11,576/24,529 = 24,529/x
  3. Step 3: Cross multiply
    11,576x = 24,529 × 24,529
  4. Step 4: Simplify right side
    11,576x = 601,671,841
  5. Step 5: Solve for x
    x = 601,671,841/11,576
  6. Step 6: Final answer
    x = 51,975.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.