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Finding the Third Proportional to 23,918 and 52,274

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Solution

The third proportional to 23,918 and 52,274 is: 114,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,918 : 52,274 = 52,274 : x
  2. Step 2: Convert to fraction form
    23,918/52,274 = 52,274/x
  3. Step 3: Cross multiply
    23,918x = 52,274 × 52,274
  4. Step 4: Simplify right side
    23,918x = 2,732,571,076
  5. Step 5: Solve for x
    x = 2,732,571,076/23,918
  6. Step 6: Final answer
    x = 114,247.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.