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Finding the Third Proportional to 41,930 and 56,975

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Solution

The third proportional to 41,930 and 56,975 is: 77,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,930 : 56,975 = 56,975 : x
  2. Step 2: Convert to fraction form
    41,930/56,975 = 56,975/x
  3. Step 3: Cross multiply
    41,930x = 56,975 × 56,975
  4. Step 4: Simplify right side
    41,930x = 3,246,150,625
  5. Step 5: Solve for x
    x = 3,246,150,625/41,930
  6. Step 6: Final answer
    x = 77,418.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.