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Finding the Third Proportional to 23,995 and 52,357

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Solution

The third proportional to 23,995 and 52,357 is: 114,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,995 : 52,357 = 52,357 : x
  2. Step 2: Convert to fraction form
    23,995/52,357 = 52,357/x
  3. Step 3: Cross multiply
    23,995x = 52,357 × 52,357
  4. Step 4: Simplify right side
    23,995x = 2,741,255,449
  5. Step 5: Solve for x
    x = 2,741,255,449/23,995
  6. Step 6: Final answer
    x = 114,242.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.