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Finding the Third Proportional to 29,573 and 44,667

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Solution

The third proportional to 29,573 and 44,667 is: 67,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,573 : 44,667 = 44,667 : x
  2. Step 2: Convert to fraction form
    29,573/44,667 = 44,667/x
  3. Step 3: Cross multiply
    29,573x = 44,667 × 44,667
  4. Step 4: Simplify right side
    29,573x = 1,995,140,889
  5. Step 5: Solve for x
    x = 1,995,140,889/29,573
  6. Step 6: Final answer
    x = 67,464.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.