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Finding the Third Proportional to 24,885 and 37,975

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Solution

The third proportional to 24,885 and 37,975 is: 57,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,885 : 37,975 = 37,975 : x
  2. Step 2: Convert to fraction form
    24,885/37,975 = 37,975/x
  3. Step 3: Cross multiply
    24,885x = 37,975 × 37,975
  4. Step 4: Simplify right side
    24,885x = 1,442,100,625
  5. Step 5: Solve for x
    x = 1,442,100,625/24,885
  6. Step 6: Final answer
    x = 57,950.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.