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Finding the Third Proportional to 24,647 and 37,885

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Solution

The third proportional to 24,647 and 37,885 is: 58,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647 : 37,885 = 37,885 : x
  2. Step 2: Convert to fraction form
    24,647/37,885 = 37,885/x
  3. Step 3: Cross multiply
    24,647x = 37,885 × 37,885
  4. Step 4: Simplify right side
    24,647x = 1,435,273,225
  5. Step 5: Solve for x
    x = 1,435,273,225/24,647
  6. Step 6: Final answer
    x = 58,233.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.