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Finding the Third Proportional to 24,296 and 52,420

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Solution

The third proportional to 24,296 and 52,420 is: 113,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296 : 52,420 = 52,420 : x
  2. Step 2: Convert to fraction form
    24,296/52,420 = 52,420/x
  3. Step 3: Cross multiply
    24,296x = 52,420 × 52,420
  4. Step 4: Simplify right side
    24,296x = 2,747,856,400
  5. Step 5: Solve for x
    x = 2,747,856,400/24,296
  6. Step 6: Final answer
    x = 113,099.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.