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Finding the Third Proportional to 11,666 and 24,898

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Solution

The third proportional to 11,666 and 24,898 is: 53,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666 : 24,898 = 24,898 : x
  2. Step 2: Convert to fraction form
    11,666/24,898 = 24,898/x
  3. Step 3: Cross multiply
    11,666x = 24,898 × 24,898
  4. Step 4: Simplify right side
    11,666x = 619,910,404
  5. Step 5: Solve for x
    x = 619,910,404/11,666
  6. Step 6: Final answer
    x = 53,138.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.