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Finding the Third Proportional to 23,603 and 50,893

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Solution

The third proportional to 23,603 and 50,893 is: 109,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603 : 50,893 = 50,893 : x
  2. Step 2: Convert to fraction form
    23,603/50,893 = 50,893/x
  3. Step 3: Cross multiply
    23,603x = 50,893 × 50,893
  4. Step 4: Simplify right side
    23,603x = 2,590,097,449
  5. Step 5: Solve for x
    x = 2,590,097,449/23,603
  6. Step 6: Final answer
    x = 109,735.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.