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Finding the Third Proportional to 11,409 and 24,393

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Solution

The third proportional to 11,409 and 24,393 is: 52,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409 : 24,393 = 24,393 : x
  2. Step 2: Convert to fraction form
    11,409/24,393 = 24,393/x
  3. Step 3: Cross multiply
    11,409x = 24,393 × 24,393
  4. Step 4: Simplify right side
    11,409x = 595,018,449
  5. Step 5: Solve for x
    x = 595,018,449/11,409
  6. Step 6: Final answer
    x = 52,153.43

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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.