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Finding the Third Proportional to 29,738.25 and 43,785.84

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Solution

The third proportional to 29,738.25 and 43,785.84 is: 64,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.25 : 43,785.84 = 43,785.84 : x
  2. Step 2: Convert to fraction form
    29,738.25/43,785.84 = 43,785.84/x
  3. Step 3: Cross multiply
    29,738.25x = 43,785.84 × 43,785.84
  4. Step 4: Simplify right side
    29,738.25x = 1,917,200,112.90
  5. Step 5: Solve for x
    x = 1,917,200,112.90/29,738.25
  6. Step 6: Final answer
    x = 64,469.16

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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.