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Finding the Third Proportional to 29,960 and 43,857

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Solution

The third proportional to 29,960 and 43,857 is: 64,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,960 : 43,857 = 43,857 : x
  2. Step 2: Convert to fraction form
    29,960/43,857 = 43,857/x
  3. Step 3: Cross multiply
    29,960x = 43,857 × 43,857
  4. Step 4: Simplify right side
    29,960x = 1,923,436,449
  5. Step 5: Solve for x
    x = 1,923,436,449/29,960
  6. Step 6: Final answer
    x = 64,200.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.