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Finding the Third Proportional to 23,497 and 50,866

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Solution

The third proportional to 23,497 and 50,866 is: 110,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497 : 50,866 = 50,866 : x
  2. Step 2: Convert to fraction form
    23,497/50,866 = 50,866/x
  3. Step 3: Cross multiply
    23,497x = 50,866 × 50,866
  4. Step 4: Simplify right side
    23,497x = 2,587,349,956
  5. Step 5: Solve for x
    x = 2,587,349,956/23,497
  6. Step 6: Final answer
    x = 110,114.06

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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.