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Finding the Third Proportional to 21,074 and 31,667

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Solution

The third proportional to 21,074 and 31,667 is: 47,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074 : 31,667 = 31,667 : x
  2. Step 2: Convert to fraction form
    21,074/31,667 = 31,667/x
  3. Step 3: Cross multiply
    21,074x = 31,667 × 31,667
  4. Step 4: Simplify right side
    21,074x = 1,002,798,889
  5. Step 5: Solve for x
    x = 1,002,798,889/21,074
  6. Step 6: Final answer
    x = 47,584.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.