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Finding the Third Proportional to 24,204 and 52,116

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Solution

The third proportional to 24,204 and 52,116 is: 112,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204 : 52,116 = 52,116 : x
  2. Step 2: Convert to fraction form
    24,204/52,116 = 52,116/x
  3. Step 3: Cross multiply
    24,204x = 52,116 × 52,116
  4. Step 4: Simplify right side
    24,204x = 2,716,077,456
  5. Step 5: Solve for x
    x = 2,716,077,456/24,204
  6. Step 6: Final answer
    x = 112,216.06

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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.