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Finding the Third Proportional to 39,758 and 55,725

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Solution

The third proportional to 39,758 and 55,725 is: 78,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,758 : 55,725 = 55,725 : x
  2. Step 2: Convert to fraction form
    39,758/55,725 = 55,725/x
  3. Step 3: Cross multiply
    39,758x = 55,725 × 55,725
  4. Step 4: Simplify right side
    39,758x = 3,105,275,625
  5. Step 5: Solve for x
    x = 3,105,275,625/39,758
  6. Step 6: Final answer
    x = 78,104.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.