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Finding the Third Proportional to 39,646 and 54,366

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Solution

The third proportional to 39,646 and 54,366 is: 74,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646 : 54,366 = 54,366 : x
  2. Step 2: Convert to fraction form
    39,646/54,366 = 54,366/x
  3. Step 3: Cross multiply
    39,646x = 54,366 × 54,366
  4. Step 4: Simplify right side
    39,646x = 2,955,661,956
  5. Step 5: Solve for x
    x = 2,955,661,956/39,646
  6. Step 6: Final answer
    x = 74,551.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.