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Finding the Third Proportional to 24,295 and 52,857

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Solution

The third proportional to 24,295 and 52,857 is: 114,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,295 : 52,857 = 52,857 : x
  2. Step 2: Convert to fraction form
    24,295/52,857 = 52,857/x
  3. Step 3: Cross multiply
    24,295x = 52,857 × 52,857
  4. Step 4: Simplify right side
    24,295x = 2,793,862,449
  5. Step 5: Solve for x
    x = 2,793,862,449/24,295
  6. Step 6: Final answer
    x = 114,997.43

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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.