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Finding the Third Proportional to 43,047 and 62,857

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Solution

The third proportional to 43,047 and 62,857 is: 91,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,047 : 62,857 = 62,857 : x
  2. Step 2: Convert to fraction form
    43,047/62,857 = 62,857/x
  3. Step 3: Cross multiply
    43,047x = 62,857 × 62,857
  4. Step 4: Simplify right side
    43,047x = 3,951,002,449
  5. Step 5: Solve for x
    x = 3,951,002,449/43,047
  6. Step 6: Final answer
    x = 91,783.46

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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.