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Finding the Third Proportional to 32,414 and 43,081

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Solution

The third proportional to 32,414 and 43,081 is: 57,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414 : 43,081 = 43,081 : x
  2. Step 2: Convert to fraction form
    32,414/43,081 = 43,081/x
  3. Step 3: Cross multiply
    32,414x = 43,081 × 43,081
  4. Step 4: Simplify right side
    32,414x = 1,855,972,561
  5. Step 5: Solve for x
    x = 1,855,972,561/32,414
  6. Step 6: Final answer
    x = 57,258.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.