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Finding the Third Proportional to 23,929 and 52,393

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Solution

The third proportional to 23,929 and 52,393 is: 114,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,929 : 52,393 = 52,393 : x
  2. Step 2: Convert to fraction form
    23,929/52,393 = 52,393/x
  3. Step 3: Cross multiply
    23,929x = 52,393 × 52,393
  4. Step 4: Simplify right side
    23,929x = 2,745,026,449
  5. Step 5: Solve for x
    x = 2,745,026,449/23,929
  6. Step 6: Final answer
    x = 114,715.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.