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Finding the Third Proportional to 29,002 and 43,489

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Solution

The third proportional to 29,002 and 43,489 is: 65,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,002 : 43,489 = 43,489 : x
  2. Step 2: Convert to fraction form
    29,002/43,489 = 43,489/x
  3. Step 3: Cross multiply
    29,002x = 43,489 × 43,489
  4. Step 4: Simplify right side
    29,002x = 1,891,293,121
  5. Step 5: Solve for x
    x = 1,891,293,121/29,002
  6. Step 6: Final answer
    x = 65,212.51

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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.