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Finding the Third Proportional to 27,954 and 41,958

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Solution

The third proportional to 27,954 and 41,958 is: 62,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954 : 41,958 = 41,958 : x
  2. Step 2: Convert to fraction form
    27,954/41,958 = 41,958/x
  3. Step 3: Cross multiply
    27,954x = 41,958 × 41,958
  4. Step 4: Simplify right side
    27,954x = 1,760,473,764
  5. Step 5: Solve for x
    x = 1,760,473,764/27,954
  6. Step 6: Final answer
    x = 62,977.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.