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Finding the Third Proportional to 24,661 and 52,898

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Solution

The third proportional to 24,661 and 52,898 is: 113,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661 : 52,898 = 52,898 : x
  2. Step 2: Convert to fraction form
    24,661/52,898 = 52,898/x
  3. Step 3: Cross multiply
    24,661x = 52,898 × 52,898
  4. Step 4: Simplify right side
    24,661x = 2,798,198,404
  5. Step 5: Solve for x
    x = 2,798,198,404/24,661
  6. Step 6: Final answer
    x = 113,466.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.