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Finding the Third Proportional to 11,873 and 25,393

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Solution

The third proportional to 11,873 and 25,393 is: 54,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873 : 25,393 = 25,393 : x
  2. Step 2: Convert to fraction form
    11,873/25,393 = 25,393/x
  3. Step 3: Cross multiply
    11,873x = 25,393 × 25,393
  4. Step 4: Simplify right side
    11,873x = 644,804,449
  5. Step 5: Solve for x
    x = 644,804,449/11,873
  6. Step 6: Final answer
    x = 54,308.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.