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Finding the Third Proportional to 41,975 and 58,687

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Solution

The third proportional to 41,975 and 58,687 is: 82,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,975 : 58,687 = 58,687 : x
  2. Step 2: Convert to fraction form
    41,975/58,687 = 58,687/x
  3. Step 3: Cross multiply
    41,975x = 58,687 × 58,687
  4. Step 4: Simplify right side
    41,975x = 3,444,163,969
  5. Step 5: Solve for x
    x = 3,444,163,969/41,975
  6. Step 6: Final answer
    x = 82,052.74

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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.