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Finding the Third Proportional to 23,834 and 35,625

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Solution

The third proportional to 23,834 and 35,625 is: 53,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834 : 35,625 = 35,625 : x
  2. Step 2: Convert to fraction form
    23,834/35,625 = 35,625/x
  3. Step 3: Cross multiply
    23,834x = 35,625 × 35,625
  4. Step 4: Simplify right side
    23,834x = 1,269,140,625
  5. Step 5: Solve for x
    x = 1,269,140,625/23,834
  6. Step 6: Final answer
    x = 53,249.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.