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Finding the Third Proportional to 48,431 and 71,067

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Solution

The third proportional to 48,431 and 71,067 is: 104,282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,431 : 71,067 = 71,067 : x
  2. Step 2: Convert to fraction form
    48,431/71,067 = 71,067/x
  3. Step 3: Cross multiply
    48,431x = 71,067 × 71,067
  4. Step 4: Simplify right side
    48,431x = 5,050,518,489
  5. Step 5: Solve for x
    x = 5,050,518,489/48,431
  6. Step 6: Final answer
    x = 104,282.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.