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Finding the Third Proportional to 29,081 and 44,759

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Solution

The third proportional to 29,081 and 44,759 is: 68,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,081 : 44,759 = 44,759 : x
  2. Step 2: Convert to fraction form
    29,081/44,759 = 44,759/x
  3. Step 3: Cross multiply
    29,081x = 44,759 × 44,759
  4. Step 4: Simplify right side
    29,081x = 2,003,368,081
  5. Step 5: Solve for x
    x = 2,003,368,081/29,081
  6. Step 6: Final answer
    x = 68,889.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.